The angular acceleration of a wheel is given in rad/s2 by 32 t 3 - 11t 4, where t is in seconds. if the wheel starts from rest at t = 0.00 s, when is the next time the wheel is at rest?

Step by step explanation

Step 1

In this step we use the definition of acceleration to determine the expression to integrate. Note that the acceleration is the derivative of velocity with respect to time.

Step 2

Perform  integration on the expression from step 1. This calculation is performed as shown below.

Step 3

In this step we use the condition that at , the velocity to find the exact form of the velocity function. We substitute  this point into the velocity function we found in step 2.

Step 4

We now  use the function in step 3  to find out when the velocity is zero again.

The velocity is zero again when

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a

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