## Question

###### The angular position of a point on the rim of a rotating wheel is given by...

The angular position of a point on the rim of a rotating wheel is given by *θ* = 6.0*t* - 2.0*t*^{2} + *t*^{3}, where *θ* is in radians and *t* is given in seconds.

(a) What is the angular velocity at *t* = 2 s?

rad/s

(b)What is the angular velocity at *t* = 4.0 s?

rad/s

(c) What is the average angular acceleration for the time interval that begins at *t* = 2 s and ends at *t* = 4.0 s?

rad/s^{2}

(d) What is the instantaneous angular acceleration at the beginning of this time interval?

rad/s^{2}

(e)What is the instantaneous angular acceleration at the end of this time interval? rad/s^{2} (at the end)

## Answers

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