Question

An automatic dryer spins wet clothes at an angular speed of 4.1 rad/s. Starting from rest, the dryer reaches its operating speed with an average angular acceleration of 4.3 rad/s2. How long does it take the dryer to come up to speed?

Answer 1

The time taken by dryer to come up to speed of 4.1 rad/s is 0.95 s .

Step-by-step explanation:

Given :

Initial angular speed ,
`\omega_i=0\ rad/s` .

Angular acceleration ,
`\alpha=4.3\ rad/s^2` .

We need to find how much time it takes to reach a speed of 4.1 rad/s .

Therefore , applying equation of motion .

`\omega_f-\omega_i=\alpha* t\\\\4.1-0=4.3* t\\\\t=(4.1)/(4.3)\ s\\\\t=0.95\ s`

The time taken by dryer to come up to speed of 4.1 rad/s is 0.95 s .