How Do You Calculate Angular Acceleration from Initial Speed and Angle Change?

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SUMMARY

The calculation of angular acceleration for a wheel on an upside-down bike involves using the equation ω(final) = ω(initial) + αt. In this case, the wheel moves through 15 radians in 5 seconds with an initial angular speed of 2.4 rad/s. However, without the final angular speed, the equation presents two unknowns, making it impossible to solve for angular acceleration (α) directly. Therefore, additional information regarding the final angular speed is necessary to accurately calculate α.

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xregina12
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The wheel on an upside down bike moves through 15 rad in 5 seconds. What is the wheel's angualr acceleration if its initial angular speed is 2.4 rad/s. Answer in units of rad/s^2

I used the equation ω(final) = ω(initial)+αt and solved for α however, I did not get a correct answer. Can anyone help?
 
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Hi xregina12,

xregina12 said:
The wheel on an upside down bike moves through 15 rad in 5 seconds. What is the wheel's angualr acceleration if its initial angular speed is 2.4 rad/s. Answer in units of rad/s^2

I used the equation ω(final) = ω(initial)+αt and solved for α however, I did not get a correct answer. Can anyone help?

Can you show what numbers you used and what you did? They don't give you the final angular speed, so that equation by itself would have two unknowns.
 

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