Calculating Angular Velocity and Time in a Frustrating Problem

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SUMMARY

The discussion focuses on calculating angular velocity and time for a wheel with a constant angular acceleration of 1.20 rad/s² over a 5.00 s interval, during which it rotates 32.5 rad. To solve the problem, participants suggest using the equations of motion adapted for rotational dynamics: Δθ = ω₀t + ½αt² and V_f = αt. The key outcomes include determining the time the wheel had been turning before the 5.00 s interval and the angular velocity at the start of that interval.

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kiwinosa87
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This is the last problem that is frustrating me...

A wheel, starting from rest, rotates with a constant angular acceleration of 1.20 rad/s2. During a certain 5.00 s interval, it turns through 32.5 rad. (a) How long had the wheel been turning before the start of the 5.00 s interval? (b) What was the angular velocity of the wheel at the start of the 5.00 s interval?

Any help would be appreciated!
 
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Hint:

You can apply the formula that you use for the rectilinear movement:

[tex]\Delta x = V_0t+\frac{1}{2}at^2[/tex]

and

[tex]V_f=at[/tex]

Replacing

[tex]\Delta x[/tex] for [tex]\Delta \theta[/tex]

[tex]V_0[/tex] for [tex]\omega_0[/tex]

[tex]\alpha[/tex] for a

bye
 
Last edited:

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