Angular Acceleration: 0.29 rad/s/s

In summary, the conversation discusses calculating the angular acceleration of a dynamometer based on its speed and time taken to reach that speed. The formula for angular acceleration is provided and used to find the answer, which is rounded to two decimal places and converted to radians. The correctness of the answer is confirmed.
  • #1
PepperABLF12
6
0

Homework Statement



If a dynamometer is set to move at 180 deg/s and it takes 0.18 seconds to reach that speed. What was the angular acceleration of the test arm in radians/s/s to get to that velocity? Give your answer rounded to two decimal places and do not include units in answer.

Homework Equations



angular acceleration (a) = change in angular velocity (w)/change in time (t)
a = w/t

The Attempt at a Solution



t = 0.18s
w = 180deg/s
a = ?

a = w/t
a = 180/0.18
a = 16.67

To find radians, 16.67/57.3 = 0.29 rad/s/s.

Is this correct?

Thank you for your help! :)
 
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  • #2
Looks right to me.
 
  • #3
Thank you!

Can anyone else see a problem with this?
 

1. What is angular acceleration?

Angular acceleration is a measure of the rate at which an object's angular velocity changes over time. It is typically measured in radians per second squared (rad/s/s).

2. How is angular acceleration calculated?

Angular acceleration can be calculated using the formula α = (ω2 - ω1) / (t2 - t1), where α is angular acceleration, ω2 and ω1 are the final and initial angular velocities, and t2 and t1 are the final and initial times.

3. What is the unit of measurement for angular acceleration?

The unit of measurement for angular acceleration is radians per second squared (rad/s/s).

4. What does an angular acceleration of 0.29 rad/s/s mean?

An angular acceleration of 0.29 rad/s/s means that the object is experiencing a change in angular velocity of 0.29 radians per second every second.

5. How does angular acceleration differ from linear acceleration?

Angular acceleration measures the change in angular velocity over time, while linear acceleration measures the change in linear velocity over time. Angular acceleration is typically measured in radians per second squared, while linear acceleration is measured in meters per second squared.

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