Linear acceleration Definition and 76 Threads

Hi, What is the linear acceleration of a body moving in a circular path? its written in my book that its zero since the magnitude of velocity is constant BUT the direction is changed so it can't be zero so this didn't persuade me. Also I DUNNO the difference between the linear...

Homework Statement This isn't exactly homework, but this seemed like the right place for this question. I'm working on an add-on for Orbiter - the space flight simulator - and would like to be able to determine the equation of motion for an object traveling at an initial velocity (v0), with a...

Homework Statement In a particle physics experiment a particle called pion is used to hit a target. The particle pion has a (rest) lifetime of 2.6x 10-8 second and is accelerated to a speed 0.99c with respect to the linear accelerator. A straight beam pipe is used to transport the pions to...

A 5 kg cylindrical reel with a radius of .6 m and a frictionless axle starts from rest and speeds up uniformly as a 3 kg bucket falls into a well, making a light rope unwind from the reel. The moment of inertia of a cylinder is I = 1/2MR^2. The linear acceleration of the bucket is: a. 9.8 m/s^2...

Homework Statement A yo-yo is made from two uniform disks, each with mass m and radius R, connected by a light axle of radius b. A light, thin string is wound several times around the axle and then held stationary while the yo-yo is released from rest, dropping as the string unwinds. Find the...

Hi I've been revising and came across some questions which I do not understand how they obtained the answer could you guys help? 1. Show that the momentum, p, of a particle of mass m is related to its kinetic energy, KE by the relationship p^2 = 2m KE Use the above relationship to...

Homework Statement An Atwood machine is constructed using a hoop with spokes of negligible mass. The 2.4 kg mass of the pulley is concentrated on its rim, which is a distance 20.9 cm from the axle. The mass on the right is 1.36 kg and on the left is 1.79 kg. What is the magnitude...

Homework Statement An Atwood machine is constructed using a hoop with spokes of negligible mass. The 2.4 kg mass of the pulley is concentrated on its rim, which is a distance 20.9 cm from the axle. The mass on the right is 1.36 kg and on the left is 1.79 kg. What is the magnitude...

Homework Statement A 66-cm-diameter wheel accelerates uniformly about its center from 120 rpm to 260 rpm rpm in 4.9 s. Homework Equations a_t = r\alpha a_c= r\omega^2 a= a_r+a_t The Attempt at a Solution I have discovered that: \alpha = 3.0 \frac{rad}{s^2} and a_t =...

Homework Statement Determine the linear acceleration of the tip of the rod. Assume that the force of gravity acts at the center of mass of the rod, as shown Homework Equations So there is a first part to this problem that i already got A uniform rod of mass M = 5.02kg and length L =...

[Solved] Centripetal Acceleration Homework Statement Derive the magnitude and direction of the linear acceleration at the tip of the stick, ignore the effect of gravity. Homework Equations r = length of stick a = dv/dt The Attempt at a Solution I first find the x and y components...

Homework Statement A bicycle has wheels with a radius of 0.295 m. It accelerates uniformly and the rate of rotation of its wheels increases form 209 rpm to 265 rpm in a time of 20.7 s. What is the linear acceleration of the bicycle? ω=angular vel. α=angular accel. Homework Equations...

Hi everyone. I just began my Calculus based physics course 3 weeks ago and I really love it. I've been going ahead of the class though and came across the following problem: As g, the acceleration due to gravity, is constant for only a limited range of height distances, a better approximation...

Im having problems with two questions, the first is linear acceleration, A 6.00-kg cylindrical reel with a radius of 0.600 m and a frictionless axle, starts from rest and speeds up uniformly as a 4.00-kg bucket falls into a well, making a light rope unwind from the reel. The bucket starts from...

A rod of mass M, length L, and uniform density and thickness swings around a frictionless pivot at one end of the rod; the other end is free. The rod is held at angle θ below the horizontal and then released with no initial angular velocity, ω0=0. Find the linear acceleration a of the rod's free...

What is the magnitude of the tangential component of the linear acceleration of a particle that is located at a distance of 50 cm from the axis of rotation when the flywheel is turning at 78.0 rev/min? I took 78 rev/min and converted it to rad/s and got 4.08 rad/s. I then multiplied that by...

Problem: What is the linear acceleration of a point on the rim of a 36 cm diameter turntable which is turning at 33 rev/min? My Work: T = \frac{2 \pi r}{v}; v = \frac{2 \pi r}{T} a_{r} = \frac{v^{2}}{r} \frac{33 rev}{min} \times \frac{1 min}{60 sec} = \frac{.55 rev}{sec} \frac{2...

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...

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...

Homework Statement A schoolbus travels around a circular path with acceleration a(t)=0.5t m/s/s with t in seconds. At some point it has a velocity of 8 m/s. What are the magnitudes of its velocity and acceleration when it has traveled a fourth of the circular track from the point at which...

Homework Statement A schoolbus travels around a circular path with acceleration a(t)=0.5t m/s/s with t in seconds. At some point it has a velocity of 8 m/s. What are the magnitudes of its velocity and acceleration when it has traveled a fourth of the circular track from the point at which...

Homework Statement "A solid sphere of radius R and mass M is initially at rest at the top of a ramp. The lowest point of the sphere is a vertical h above the base of the ramp. It is released and rolls without slipping down the ramp. Determine the linear acceleration while the sphere is...

A bicycle has wheels with a diameter of 0.620 m. It accelerates uniformly and the rate of rotation of its wheels increases from 183 rpm to 275 rpm in a time of 20.7 s. Find the linear acceration of the bicycle.

Ok here's the question; "You pull downward with a force of 25N on a rope that passes over a disk-shaped pulley of mass 1.3 kg and radius 0.075m. The other end of the rope is attached to a .67-kg mass. (a) Us the tension in the rope the same on both sides of the pulley? If not, which side...

For a disk in the x-y plane that is rotating about the z-axis which travels through its center of mass, how does the angular acceleration relate to the linear acceleration of a particle on the body? Is the direction and the magnitude both affected? How do we calculate these in vector form? I...

a) Calculate the linear acceleration of a car, the 0.300 m radius tires of which have an angular acceleration of 10 rad/sec^2, assume no slippage. a = ? r = 0.30 m Rot acc = 10.0 rad/s^2 a = r * (rotational acc) a = .3 m * 10 rad/s^2 a = 3.0 m/s^2 b) How many revolutions do the...