An automatic dryer spins wet clothes at an angular speed of 4.3 rad/s. Starting from rest, the dryer reaches its operating speed with an ave

Question

An automatic dryer spins wet clothes at an angular speed of 4.3 rad/s. Starting from rest, the dryer reaches its operating speed with an average angular acceleration of 4.0 rad/s2. How long does it take the dryer to come up to speed

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Cherry 4 years 2021-07-27T03:00:51+00:00 1 Answers 21 views 0

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  1. thuthao
    0
    2021-07-27T03:02:22+00:00
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    Answer:

    The time taken by dryer to come up to speed is 1.075 seconds.

    Explanation:

    Initial angular speed, \omega_i=0

    Final angular speed, \omega_f=4.3\ rad/s

    The dryer reaches its operating speed with an average angular acceleration of, a=4\ rad/s^2

    Let t is the time taken by dryer to come up to speed. Using first equation of motion as :

    \omega_f=\omega_i+\alpha t\\\\t=\dfrac{\omega_f}{\alpha }\\\\t=\dfrac{4.3}{4}\\\\t=1.075\ s

    So, the time taken by dryer to come up to speed is 1.075 seconds.                    

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