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?

Respuesta :

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 , [tex]\omega_i=0\ rad/s[/tex] .

Angular acceleration , [tex]\alpha=4.3\ rad/s^2[/tex] .

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

Therefore , applying equation of motion .

[tex]\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[/tex]

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

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