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

Answer:

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

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 .

$\omega_f-\omega_i=\alpha\times t\\\\4.1-0=4.3\times t\\\\t=\dfrac{4.1}{4.3}\ s\\\\t=0.95\ s$

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