What is Linear velocity: Definition and 50 Discussions

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s−1). For example, "5 metres per second" is a scalar, whereas "5 metres per second east" is a vector. If there is a change in speed, direction or both, then the object has a changing velocity and is said to be undergoing an acceleration.

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  1. S

    Calculating Average Linear Velocity: 1.66m/s to 1.73m/s

    First i need the average linear velocity 100L/min = 0.1m3/min 0.00167m3/sec Cross Sec Area = Pie r2 =pie(0.0175m)2 9.61x10-4 m2 0.0016m3/s / 9.61x10x-4m2 = 1.66m/s But my notes say this should be 1.73 m/s Once i have the average linear velocity i can calculate Re. Help appreciated
  2. D

    MHB Linear Velocity Calculation in Low Earth Orbit

    Can someone please check my work to this? The reflecting telescope is deployed in low Earth orbit( 600km) with each orbit lasting about 95 min. use the linear velocity formula to solve the problem. I did 300 * 95 min = 28500. Can someone check my work please? if someone could check it today...
  3. P

    Angular and linear velocity question

    I have a question, let’s say I’m holding a long piece of wood such as. 1’ x 6’ plank and I’m rotating it in a circle by spinning around with my hands extended, I suddenly let go, what happens to the velocity of the wood since every point on the wood that is a different distance from the center...
  4. S

    Is Constant Linear Velocity Possible in Rotating Particles?

    If talking about a particle rotating around an axis away from it by r. if the particle is moving with constant angular velocity ω. is the linear velocity constant or no? Now what I know is that since we have Vt= ωr, so r doesn't change, as well as ω, so Vt is said to be constant. but I think...
  5. Wale

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  6. M

    Charge moving with a constant linear velocity....

    Charge moving in constant linear velocity does not produce magnetic field... If not, please provide an explanation...
  7. W

    How does linear velocity of a spinning object affect its rebound

    Consider the case where a basketball rotating about its center of mass strikes a wall head-on. The velocity given it parallel to the wall due to the spin is caused by the friction between the wall and the ball as the ball is sliding against the wall during the collision. Friction is proportional...
  8. F

    MHB Find the diameter of a circle given linear velocity?

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  9. B

    Filter HCL with limelayers

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  10. mmcsa

    Determining linear velocity of pendulum

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  11. Z

    How to derive linear velocity from position and angular vel.ocity

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  12. xpell

    B Relativistic tips of a propeller

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  13. Jamesan89

    Nominal Linear Velocity Gas flow

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  14. B

    Linear velocity equation for a object trown vertically up

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  15. P

    Earth's Rotational Velocity: Find Linear Velocity

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  16. Prashant91

    Calculate Linear Velocity: Aircraft Direction Vector

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  17. H

    Angular and linear velocity propeller

    Homework Statement You are designing an airplane propeller that is to turn at 2400 rpm (Fig. 9.13a). The forward airspeed of the plane is to be 75m/s, and the speed of the tips of the propeller blades through the air must not exceed 270m/s. (This is about 80% of the speed of sound in air. If...
  18. P

    Calculate Linear Velocity: 180 deg/s & 0.5 m

    Homework Statement What is the linear velocity of the foot if the angular velocity of the dynamometer was 180 degrees/s and the distance from the knee joint to the foot is 0.5 m. Give your answer rounded to two decimal places in m.s-1. (Do not include units in answer). Homework Equations...
  19. rpthomps

    How Is Linear Velocity AE Derived in a Scholarly Paper?

    Good afternoon, I am making way through this paper and I am having trouble "seeing" how the linear velocity AE is derived at the top of...
  20. A

    Linear Velocity vs Uniform Velocity

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  21. S

    Linear Velocity and Angular Velocity Point of Intersection

    So, I have been studying angular velocity and linear velocity--and I want to use this information determine if a ray intersects a plane. linear velocity = dp/dt angular velocity = dΘ/dt thus for linear velocity, you have a point in space: the intersection point could be described as I...
  22. C

    Angular and linear velocity of a rigid body given a force.

    Hello, I'm trying to prove a simulation of mine is working correctly. the simulation has a cube of sides 1, mass 1 and c.o.m. position at (0,0,0.5) ie sitting on the xy plane. i have a force along the x-axis of 10. Is there anyway given those two, that i can work out the resulting ω and v of...
  23. U

    Minimum linear velocity attained by sphere

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  24. B

    Are the Angular and Linear Velocities of Tractor Wheels Different?

    First of all, I very much thank you for reading this. I was asked the following: 'The wheels of a tractor have different radius. Is their angular velocity equal or different? And the linear velocity?' I thought that, due to the fact that the smaller wheels take less time to spin 2π rad tan the...
  25. S

    Measuring linear velocity of a toy car

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  26. S

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  27. E

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  28. T

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  29. A

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  30. G

    Angular + Linear Velocity problem

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  31. A

    Angular and linear velocity

    5. A roller 0.44 m diameter rolls down a slope starting from rest. It takes 12 seconds make 6 complete rotations along the sloping surface accelerating uniformly as it moves. Calculate the following: (1). The angular velocity at the end. (2). The linear velocity at the end. (3). The...
  32. K

    Linear velocity of a cylinder

    Homework Statement A cylinder of radius 20cm and mass 100g rolls down an inclined plane of height 60cm without slipping. the linear velocity of the cylinder at the bottom is?? (g=980cm/s/s)
  33. T

    What is the linear velocity of a point on a swinging rod before it hits a wall?

    Homework Statement If you suddenly cut the string, the rod will swing down. Find the linear velocity (V) of the point P just before the rod hits the wall (the momentum-of-inertial I=(1/3)ML^2 if the rod rotates about the end point Q. L is the rod length and M is the rod mass). The rod...
  34. M

    Linear Velocity: When to Use S/t or R*w

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  35. A

    Linear Velocity, linear momentum, and agular momentum

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  36. C

    Converting angual velocity to linear velocity

    Homework Statement An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10m and, in starting, rotates \theta=0.30t^{2}, there t is in seconds and \theta in radians. When t=5.0s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c)...
  37. G

    Angular, linear velocity & centripetal acceleration

    Homework Statement A washing machine's two spin cycles are 328 rev/min and 542 rev/min. The diameter of the drum is 0.43 m. What is the ratio of the centripetal accelerations for the fast and slow spin cycles? Homework Equations ac=v2/r linear velocity: v=rw (w is really omega) angular...
  38. D

    Linear velocity at equator with respect to the sun

    Homework Statement What is the linear velocity of a persion standing at the Earth’s equator with respect to the Sun, when the Sun is just at the Eastern horizon? Homework Equations Not sure, I used to v=d/t to solve for a person's linear velocity at the equator, just not sure how to handle...
  39. D

    Find angular velocity from constant linear velocity

    Homework Statement A rotating disk of 2.50m in diameter serves tu connect a counter weight to a mass through a massless rope. The rope does not slip on the disk so, there is no friction on the rim. What angular velocity in rpm must the disk turn to raise the elevator at 25.0 m/s...
  40. R

    Linear velocity of a rotating body

    Homework Statement A flat rigid body is rotating with angular velocity 3 rads-1 about an axis in the direction of the vector (i + 2 j + 3 k) and passing through the point (1, 1, 0) on the body. Find the linear velocity of the point P = (1, 0, 1) on the body. (You may use the result v =...
  41. V

    Linear Velocity and Acceleration

    Hey guys, we have just finished Chapter 10 (Rotation) and I have some questions regarding some of the concepts. For an object to rotate about some axis, any given particle at point P at some radius "r" has a linear velocity (tangential velocity) and linear acceleration (tangential acceleration)...
  42. A

    (just joined) I with my pre ap precal; angular and linear velocity)

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  43. D

    Linear Velocity at Top (Rotational Kinematics)

    1. A bike is moving at X m/s. Its tires are .60 m in diameter. How fast is a point at the rim of the top of one of the wheels moving relative to the ground? 2. v = r omega, C = 2 pi r (?) 3. At first we thought he just wanted angular velocity. Then when we realized that his given...
  44. K

    How do you convert rev/sec to a linear velocity?

    how do you convert rev/sec to a linear velocity ex. m/s or in/s or ft/s?
  45. G

    How Do Tire Sizes Affect Car Speed at Constant RPM?

    Hello. I was wondering if anyone could help me with this problem. You'll probably think it is easy, but oh well :rofl:. begin to explore aspects of angular velocity/and linear velocity and how tires affect them. Car Type Tire Type Tire Diameter-inches...
  46. C

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  47. B

    Angular and Linear Velocity Calculations

    Please could I have some help with the following question: A driver wheel, which runs a drive belt has a diameter of 600mm and can run at a maximum speed of 750rpm. If the belt has a static coefficient of friction of 0.9 and a dynamic coefficient of friction of 0.87, calculate: a) The...
  48. S

    Calculating Linear Velocity for Volleyball Spike: Any Help Appreciated!

    Below is a question I will need to know well for my exam coming up. I don't even know where to start or what the steps are? I am very overwhelmed here...:eek: A volleyball spike begins with the arm overhead, the shoulder and elbow are flexed and the wrist is hyperextended. The upper arm...
  49. S

    Rolling with slipping and linear velocity

    This was a question on a test that I couldn't figure out. You have a hoop, mass M, moment of inertia MR2, and an initial angular velocity ω. It is dropped onto a plane with kinetic coefficient of friction μ. What will be its linear velocity when it stops slipping and rolls away smoothly if it...
  50. Loren Booda

    Maximum rotational vs linear velocity of thrown ball

    For a thrown ball of constant density, what is the maximum possible rotational/linear velocity ratio?
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