Finding Angular Velocity in Rotational Motion Problems

In summary, the conversation was about converting 53 rpm to 5.55 rad/sec and how to properly solve the problem. It was mentioned to multiply 5.55 by 2pi to get the angular velocity of 34.8717. The mass was determined to be irrelevant to the problem. Overall, the conversation was focused on understanding the conversion and applying it accurately.
  • #1
momoneedsphysicshelp
23
2
Homework Statement
A ball, 1.8 kg, is attached to the end of a rope and spun in a horizontal circle above a student's head. As the student rotates the ball in a horizontal clockwise circle their lab partner counts 53 rotations in one minute. What is the ball's angular velocity in radians per second?
Relevant Equations
1 rad/sec = 60/2pi rmp
53 rpm equals 5.55 rad/sec
multiply 5.55 by 2pi to get angular velocity of 34.8717

Is the answer 34.8717?

What should I have done to more accurately solve the problem with a better understanding?

What other steps should I take when solving similar problems?

and lastly,
Is the mass relevant to the problem in any way?
 
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  • #2
momoneedsphysicshelp said:
53 rpm equals 5.55 rad/sec
Right. Why continue past that? You are asked for it in units of rad/sec.
 
  • #3
momoneedsphysicshelp said:
Is the mass relevant to the problem in any way?
No.
 
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  • #4
haruspex said:
Right. Why continue past that? You are asked for it in units of rad/sec.
So this is only a conversion problem?
Thanks you very much.
 
  • #5
When I turned in that answer, it was still wrong.
 
  • #6
What answer ?
 

FAQ: Finding Angular Velocity in Rotational Motion Problems

What is angular velocity?

Angular velocity is a measure of how quickly an object is rotating around an axis. It is represented by the Greek letter omega (ω) and is measured in radians per second (rad/s).

How is angular velocity calculated?

Angular velocity is calculated by dividing the change in angular displacement by the change in time. This can be represented by the equation ω = Δθ/Δt, where ω is angular velocity, Δθ is change in angular displacement, and Δt is change in time.

Can angular velocity be negative?

Yes, angular velocity can be negative. A negative angular velocity indicates that the object is rotating in the opposite direction of a chosen positive direction. For example, if a wheel is rotating counterclockwise, its angular velocity would be positive. But if the same wheel is rotating clockwise, its angular velocity would be negative.

What is the difference between angular velocity and linear velocity?

Angular velocity measures the rate of change of angular displacement, while linear velocity measures the rate of change of linear displacement. Angular velocity is measured in radians per second, while linear velocity is measured in meters per second.

How is angular velocity related to rotational inertia?

Angular velocity and rotational inertia are directly proportional to each other. This means that as angular velocity increases, so does rotational inertia, and vice versa. This relationship is represented by the equation ω = Iα, where ω is angular velocity, I is rotational inertia, and α is angular acceleration.

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