Question

In: Physics

3. The angle that a wheel rotates as a function of time "t" is given by...

3. The angle that a wheel rotates as a function of time "t" is given by θ (t) = 8.5–15.0t ^ 2 + 1.6t ^ 4 where θ is in radians and "t" in seconds. (a) Determine an expression for the instantaneous angular velocity ω. (b) Determine an expression for the instantaneous angular acceleration α. (c) Evaluate ω and α at t = 3.0s. (d) What is the average angular velocity at t = 2.0s and t = 3.0s? (e) What is the average angular acceleration at t = 2.0 s and t = 3.0 s?

Expert Solution

(3) The angle that a wheel rotates as a function of time "t" is given by

(A) Determine an expression for the instantaneous angular velocity ω;

(B) Determine an expression for the instantaneous angular acceleration α

(C) Evaluate ω and α at t = 3.0s;

from equation (1);

(D) What is the average angular velocity at t = 2.0s and t = 3.0s ?

average angular velocity = change in angular position / change in time;

at t = 3s;

at t = 2s;

(E) average angular acceleration at t = 2.0 s and t = 3.0 s

at t = 3s;

at t = 2s;

genius_generous answered 2 years ago

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