An automatic dryer clothes at an angular speed of 4.1 rad/s. Starting from rest, the dryer reaches its operating speed with an everage acceleration of 4.2 rad/s. How long does take the dryer to come up to speed?
We can use the formula for average acceleration to solve this problem:
average acceleration = change in velocity / change in time
Since the initial velocity is 0 (starting from rest), and the final velocity is the operating speed of 4.1 rad/s, we can denote the change in velocity as 4.1 rad/s.
Similarly, we can denote the change in time as Δt.
Using the average acceleration formula, we have:
4.2 rad/s = 4.1 rad/s / Δt
Simplifying, we can solve for Δt:
Δt = 4.1 rad/s / 4.2 rad/s
Δt = 0.976 seconds
Therefore, it takes the dryer approximately 0.976 seconds to come up to speed.