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The crankshaft in a race car goes from rest to 3600 rpm in 2.8 seconds.

1. What is the crankshaft's angular acceleration?
2. How many revolutions does it make while reaching 3600 rpm?

Answer :

The angular acceleration of the crankshaft can be found using the formula:
angular acceleration = (final angular velocity - initial angular velocity) / time

The initial angular velocity is 0 since the crankshaft starts from rest. The final angular velocity can be found by converting 3600 rpm to radians per second:

final angular velocity = (3600 rpm) x (2π radians/1 revolution) x (1 min/60 s) = 377 radians/s

Plugging in the values, we get:
angular acceleration = (377 radians/s - 0 radians/s) / 2.8 s = 134.6 radians/s^2

Therefore, the angular acceleration of the crankshaft is 134.6 radians/s^2.

To find the number of revolutions the crankshaft makes while reaching 3600 rpm, we can use the formula:
number of revolutions = final angular velocity / (2π radians/1 revolution)

Plugging in the values, we get:
number of revolutions = 377 radians/s / (2π radians/1 revolution) = 59.9 revolutions

Therefore, the crankshaft makes approximately 59.9 revolutions while reaching 3600 rpm.

To know more about angular acceleration :

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