Question

It takes a washing machine 4.5 seconds to go from rest to its maximum spin speed of 1200 rpm. What is the angular acceleration of the washer?

Answer 1

The angular acceleration of the washing machine which takes 4.5 seconds to go from rest to its maximum spin speed of 1200 rpm is
`838.04 rad/s^(2)`.

Angular acceleration(
`\alpha`) is calculated using the formula:

`\alpha = \(\Delta \)w/\(\Delta \)t`,

where
`\(\Delta \)w` is the change in angular velocity and
`\(\Delta \)t` is the time interval.

Given that the washing machine goes from rest to a maximum spin speed of 1200 rpm (revolutions per minute) in 4.5 seconds, we first need to convert the final angular velocity to radian per second:

`w_(f) = 1200rpm * (2\pi rad)/(1 rev) * (1)/(60 s) = 125.66 rad/s`.

The initial angular velocity (
`w_(i)`) is 0 rad/s since it starts from rest.

∴ Angular acceleration:

`\alpha = (w_(f) -w_(i))/(\(\Delta t\)) =`
`(125.66 rad/s - 0 rad/s)/(4.5s) = 27.92 rad/s^(2)`.

The washer's angular acceleration, rounded to two decimal places, is around
`27.92 rad/s^(2)`.

To know more about angular acceleration refer to this link,