Question

A washing machine drum 90.0 cm in diameter starts from rest and achieves 1200.0 rev/min in 24.0 s. Assume the acceleration of the drum is constant. 1) Calculate the magnitude of the net acceleration of a point on the drum after 1.00 s has elapsed. (Express your answer to three significant figures.)

Answer 1

Answer:
`7.11* 10^(3) m/s^2`

Step-by-step explanation:

Given

Drum Radius=90 cm

radius =45 cm

N=1200 rev/min

Time(t)=24 s

`\omega =(2\pi N)/(60)=40\pi rad/s`

`\omega =\omega _0+\alpha t`

`40\pi =0+\alpha 24`

`\alpha =5.23\pi rad/s^2`

Now radial acceleration
`=\omega ^2r=(40\pi )^2* 0.45=7107.95 rad/s^2`

Tangential acceleration
`=\alpha t=5.23* 0.45=2.35`

Net acceleration after 1 sec will be

`a_(net)=√(7107.95^2+2.35^2)=7107.96 m/s^2=7.11* 10^(3)`