## Calculate the linear acceleration (in m/s2) of a car, the 0.330 m radius tires of which have an angular acceleration of 15.0 rad/s2. Assume no slippage.

1.

(a)

Calculate the linear acceleration (in m/s^{2}) of a car, the 0.330 m radius tires of which have an angular acceleration of 15.0 rad/s^{2}. Assume no slippage.

4.95 m/s^{2}

(b)

How many revolutions do the tires make in 2.50 s if they start from rest?

??? rev

(c)

What is their final angular velocity (in rad/s)?

37.5 rad/s

(d)

What is the final velocity (in m/s) of the car?

12.38 m/s

2.

With the aid of a string, a gyroscope is accelerated from rest to 26 rad/s in 0.45 s.

(a)

What is its angular acceleration in rad/s^{2}?

57.78 rad/s^{2}

(b)

How many revolutions does it go through in the process?

???

3.

An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min.

(a)

What is its angular acceleration in rad/s^{2}?

87.27 rad/s^{2}

(b)

What is the tangential acceleration (in m/s^{2}) of a point 8.50 cm from the axis of rotation?

7.42 m/s^{2}

(c)

What is the radial acceleration in m/s^{2} and multiples of *g* of this point at full rpm?

*a* in m/s ??? m/s^{2}

*a* as a multiple of *g ??? * *g*

## Answer ( 1 )