In its primitive form, a wheel is a circular block of a hard and durable material at whose center has been bored a hole through which is placed an axle bearing about which the wheel rotates when torque is applied to the wheel about its axis. The wheel and axle assembly can be considered one of the six simple machines. When placed vertically under a load-bearing platform or case, the wheel turning on the horizontal axle makes it possible to transport heavy loads. This arrangement is the main topic of this article, but there are many other applications of a wheel addressed in the corresponding articles: when placed horizontally, the wheel turning on its vertical axle provides the spinning motion used to shape materials (e.g. a potter's wheel); when mounted on a column connected to a rudder or to the steering mechanism of a wheeled vehicle, it can be used to control the direction of a vessel or vehicle (e.g. a ship's wheel or steering wheel); when connected to a crank or engine, a wheel can store, release, or transmit energy (e.g. the flywheel). A wheel and axle with force applied to create torque at one radius can translate this to a different force at a different radius, also with a different linear velocity.
The motion diagram below shows the position of a seat on a Ferris wheel at 12 moments. One full rotation is shown; the positions at moments 0 and 6 are labelled. For each of the following questions, choose the appropriate direction from the second diagram...
If a problem gives the number of teeth on the wheel, the revolutions per second of the wheel and the distance betweeb the mirror and the toothed wheel...what formula do youuse to solve for the speed of light??
there is a wheel. A shaft which rotates about a pivot point a is connected to the wheel
at the point b. what is the influence of the distance a to b in the torque applied to the wheel . the wheel just rests on the shaft at point a and it is not welded to the shaft.
I am trying to fitgure out the turning radius of a simple car with front wheel steering based on the velocity difference between the front wheels. Unfortunately, I could not figure out how this could be done. I figured out the relationship between steering angle and turn radius but I am unable...
Homework Statement
A person stands at rest on a 5.0kg, 50cm diameter frictionless turntable.
He receives spinning bicycle wheel, 180rpm counterclock wise,
diameter 64cm, and the rim weighs 4.0kg.
The wheel was held in a horzontal plane, the handles extend outward from the center...
The inventor of a water wheel claims that his design is better than a conventional overshot or breast wheel at extracting energy from water flows at low heads. He states that the design shown can generate up to 260 W of power from a head of 0.8 m. average household energy use over a 24-hour...
A bike has wheels with diameter 0.6m. The bike moves along the road at 6m/s. Determine an equation for the height of the the speck on the tire above the road as a function of time in t seconds.
I think that the amplitude is 0.3 and my period is 0.6pi (circumference). Would there be any phase...
If it was possible to build:
A vertically mounted fly wheel - over 2 miles in diameter, the largest moving mass ever created by man.
(half above ground, half below ground)
Would it work?
Would it continue to spin any longer because of its mass?
Could it then be used to generate...
We've got a wheel with a moment of inertia I. The wheel has a mass M=14 kg and a radius of gyration k=0,15 m. A cord is wrapped around the drum with a radius R= 0,09 m and a mass m=0,1 kg is hung on the end. The mass i allowed to fall a distance s= 2,5 m before it hits the ground. The...
Homework Statement
a wheel (hoop) of 10lbs has one 10lb spoke which is horizontal and rests on the ground (held). it is connected to an axle. the radius of the wheel (length of spoke) is 1ft. when the wheel is let go, what is the force of the axle on the wheel?
(the problem also asked...
Suggestion For 12" Wheel Rim
I Need To Urgently Require To Buy A 12 Inch Wheel Rim For A Vehicle I Am Preparing...cud Anyone Suggest An Oem Which Has A Specification Suitable To Mine
FOR PICTURE of CIRCUIT: community.webshots.com/photo/2479536900103460081IWuFAY
A wheel consiting of a large number of thin conducting spokes is free to rotate about its axle. The brush makes contact one spoke at a time. There is a uniform B field pointing into the page. The wheel is...
There have been some threads on relativistic wheels/balls from the view of a road the wheel/ball is rolling on, without slipping. So I decided to research them. I found some nice movies and saw some nice drawings that help explained the movement/shape of the wheel. It is an ellipse that is...
Weight and Wheel ! (Linear and Angular Acceleration)
Homework Statement
Consider a bicycle wheel that initially is not rotating. A block of mass is attached to the wheel and is allowed to fall a distance . Assume that the wheel has a moment of inertia, I, about its rotation axis...
[SOLVED] Ferris Wheel Problem! PLEASE HELP!
Homework Statement
The Ferris Wheel takes 29 seconds to make one revolution.
The diameter of this Ferris Wheel is forty feet.
The distance from the ground to the top of the Ferris Wheel is forty-five feet. (That means that the distance from...
In the figure below, a constant horizontal force Fapp of magnitude 15 N is applied to a wheel of mass 14 kg and radius 0.40 m. The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.43 m/s2.
(a) In unit-vector notation, what is the...
1. A wheel 2.00m in diameter lies in a vertical plane and rotates with a constant angular acceleration of 4.00 rad/s^2. The wheel starts at rest at t=0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t=2, find the angular speed...
I don't know why this problem is confusing me so much. Actually I do. I'll explain.A car with wheels of radius R is accelerating at a constant rate. At what point on the tires is there the greatest acceleration, and what is this acceleration?I've attempted this from different perspectives...
Engine breaking seems to me as dependent of relative angular velocity of the wheels to angular velocity of the engine which is connected to the gear. Engine breaking comes from drag forces that occur inside cylinders and act on the pistons moving inside fluid. So in this sense there is no...
Hi folks, my first post here, looks like a very helpful website though, so i thought i'd share my problem.
I'm a mechanical engineering student working on a vehicle that has a zero turning radius system, which is to say (for the purposes of this problem) that it's controlled by 2 drivewheels...
Homework Statement
Imagine a woman standing on a rotating disc (D) with a rotating wheel in her stretched arms (se picture here: http://image.vandrermodlyset.net/rotation.jpg ). The wheel is oriented in a horizontal plane, with the rotating axis (W) of the wheel parallel to that of the...
I have a mechanics question.
"A wheel starts from rest and rotates with constant angular acceleration about a fixed axis.
1) Prove that the power at any given time is proportional to the square of the net torque about the axis.
2) Prove that the power at any given angular displacement...
Homework Statement
A student of weight 678 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force N on the student from the seat is 565 N. (a) What is the magnitude of N at the lowest point? If the wheel's speed is...
Homework Statement
a wheel of mass M has a radius R It is standing vertically on the floor and we want to exert a horizontal force F at its axle so that it will climb a step against which it rests. The step has a height h where h<R what is the minimum force F needed?
Homework Equations...
Homework Statement
A woman rides a carnival Ferris wheel at radius 21 m, completing 4.2 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point?
Homework...
Homework Statement
The Ferris wheel in the figure View Figure , which rotates counterclockwise, is just starting up. At a given instant, a passenger on the rim of the wheel and passing through the lowest point of his circular motion is moving at 3.00 m/s and is gaining speed at a rate of...
Greetings all!
There is a bit of a debate in the world of mountain bikes, concerning the conventional 26" wheel diameter versus the rising popularity of the 29" wheel size (nominal diameters).
One of the popular beliefs is that the 29" wheel requires a larger brake rotor than a 26" wheel...
I'm attempting to write a simple model to describe the angular velocity profile (aka angular acceleration) of a bicycle wheel for different torque vs time profiles.
Where this gets complex is that it's not a normal bicycle wheel. It is a normal wheel with weights on the spokes connected to...
Homework Statement
You are riding a Ferris wheel 120 feet in diameter. It makes one complete revolution every minute. How fast are you falling when you are halfway to the bottom?
Homework Equations
None
The Attempt at a Solution
I really am not sure where to start. I'm actually not even...
I have noticed an apparent correlation between two seemingly unconnected phenomena, but I do not have the mathematical ability to prove the connection.
I was wondering what a rolling wheel would look like at relativistic speeds. To investigate this I created a java simulation that solves the...
Homework Statement
A grinding wheel 0.35 m in diameter rotates at 2500rmp. What is the linear acceleration of a point on the edge of the grinding wheel?
For the linear acceleration, should it be atotal=atan+aR? Should we find both tangential acceleration and centripetal acceleration? But on...
Homework Statement
Could someone explain this problem a little better to me.
Problem:
Calculate the net torque about the axle of the wheel shown in Fig. 8-39. Assume that a friction torque of 0.45 m·N opposes the motion and that F = 18.
*see attachment for picture.
I'm confused...
Homework Statement
A string is wound tightly around a wheel. When the end of the string is pulled through a distance of ? cm, the wheel rotates through ? revolutions. What is the radius of the wheel?
Homework Equations
The Attempt at a Solution
i'm confused about this...
Homework Statement
A person is riding a bicycle, and its wheels have an angular velocity of +20.0 rad/s.
Then, the brakes are applied and the bike is brought to a uniform stop.
During braking, the angular displacement of each wheel is +10.0 revolutions.
(a) How much time does it...
Homework Statement
The apparent weight a person feels is the normal force that acts on the person. Suppose a Ferris Wheel has a diameter of 28.om and makes one revolution every 13.3 seconds. What is the ratio of a person's apparent weight to real weight a) at the top and b) at the bottom...
hey guys, i was wondering if anyone could explain how to find the linear acceleration of a point at the top and bottom of a wheel. the homework problem is as follows (just so you know the context, i don't want the answers, i want to know how to go about this.):
Consider a 61 cm diameter tire on...
I am a little stuck with angular velocity and I do not know where to start on this one question.
A bicycle wheel has a diameter 60 cm. Determine its angular velocity in radians per seconds, when the bicycle travels at 20km/h
Could somebody please help as to where to start
Very much...
A small rubber wheel is used to drive a large pottery wheel. The two wheels are mounted so that their circular edges touch. The small wheel has a radius of 2.0 cm and accelerates at the rate of 7.2 rad/s^2, and it is in contact with the pottery wheel (radius 21.0 cm) without slipping...
I am building a robot for a design class. Part of the design includes a wheel base to drive the robot forward. To accomplish this I was going to attach a spur gear system to a wheel axel and drive the input gear with an electric motor. The gears themselves will be made out of acrylic and cut...
A wheel has eight spokes and a radius of 37.5 cm. It is mounted on a fixed axle and is spinning at 3.75 rev/s. You want to shoot a 17.0 cm long arrow through the wheel, parallel to this axle, without hitting any of the spokes. Assume that the arrow and the spokes are very thin and evenly spaced...
Homework Statement
A force of 21.09 N is applied tangentially to a wheel of radius 0.340 m and gives rise to an angular acceleration of 1.20 rad/s ^2. Calculate the rotational inertia of the wheel.
a) 7.46 kg . m2
b) 4.98 kg . m2
c) 8.96 kg . m2
d) 5.97 kg . m2
Homework Equations...
Homework Statement
A bicycle has wheels of radius 0.29 m. Each wheel has a rotational inertia of 0.091 kg·m^2 about its axle. The total mass of the bicycle including the wheels and the rider is 79 kg. When coasting at constant speed, what fraction of the total kinetic energy of the bicycle...
Not original #'s but same questions:
Homework Statement
A 750N child rides a ferris wheel that is moving at a constant velocity. At the highest point the child has an apparent weight of 650N.
(a) what is the acceleration of the wheel?
(b) what is the apparent weight of the child at the...
Homework Statement
A bicycle has wheels of radius 0.3 m. Each wheel has a rotational inertia of 0.08 kg* m2 about its axle. The total mass of the bicycle including the wheels and the rider is 74 kg. When coasting at constant speed, what fraction of the total kinetic energy of the bicycle...
Plz I need ur urgent Help : Wheel speed
what is the wheel speed in an axial compressor ?
for example when we say that the axial velocity remains constant and equal to the wheel speed of U = 50 m/s?
Does this refer to the rotational speed , or just a value for the axial velocity ...
Homework Statement
Water falls onto a water wheell from a height of 2.0m at a rate of 95kg/s (a) If this water wheel is set up to provide electricity output, what is the max power output. (b) What is the speed as it hits the wheel?
Homework Equations
Ep= mgh Ek= 1/2mv^2
The...
Homework Statement
A stiff uniform wire of mass M_0 and length L_0 is cut, bent, and the parts soldered together so that it forms a circular wheel having four identical spokes coming out from the center. None of the wire is wasted, and you can neglect the mass of the solder.
well, not exactly.
I'm working on a little project for school (art school, ironically) and I think I'm a bit in over my rudimentary physics education.
Basically, my idea is to create a wide, hollow wheel with a motor hidden inside of it, so that to the casual observer the wheel appears to...
A Ferris wheel that rotates three times each minute and has a diameter of 16.0 m
What force [magnitude and direction (measured inward from the vertical)] does the seat exert on a 43.0 kg rider when the rider is halfway between top and bottom, going up?
Ok, the magnitude is easy...
Fnet...
Homework Statement
A passenger on the ferris wheel described in problem 18 (Problem 18: Fairgoers ride a Ferris wheel with a radius of 5.00m The wheel completes one revolution every 32.0s) drops his keys when he is on he way up and at the 10 o'clock position. Where do the keys land relative...