You pull your car into your driveway and stop. The drive shaft of your car engine, initially rotating at 2400rpm, slows with a constant rotational acceleration of magnitude 30rad/s2. How long does it take for the drive shaft to stop turning?

Time taken = 8.377 seconds

Explanation:

Let's first calculate what 2400 rpm is in radians per second.

2400 rpm = 2 * pi * 2400 rad/min = 15079.64 rad/min

Converting this into radians/second we get:

15079.64 / 60 = 251.32

We can now find out how long it takes for the drive shaft to stop turning:

Velocity = Acceleration * Time

Since velocity and acceleration are given, we can find time:

Time = Velocity / Acceleration

Time = 251.32 / 30

Time = 8.377 seconds