Question

An upright clothes washer spins clothes around 30 times in 12 seconds. Its radius is 0.20m. What is the tangential velocity of the clothes in the washer?

Answer 1

Explanation:

Below is an attachment containing the solution.

Answer 2

Answer:

3.142 m/sec

Explanation:

Tangential velocity is the velocity measured along the path of a rotating body, which is tangent forms a tangent with the path.

The tangential velocity of the washer can be obtained using equation 1:

V = ω x r

where is the tangential velocity

ω is the angular velocity

r is the radius = 0.20 m.

Calculating for the angular velocity

ω = $\frac{Number of revolutions}{time}$

given the number of revolution as 30 and time 12 secs our angular velocity can be obtained as;

ω = $\frac{30}{12 secs}$

ω  = 2.5 rev/secs

angular velocity is measured in rad/sec so we have to convert our answer;

1 rev/sec = 2π rad/rev

2.5 rev/secs = 2π rad/rev x 2.5 re/secs = 15.71 rad/sec

the answer will be substituted into the expression in equation 1 to obtain the tangential velocity;

V = 15.71 rad/sec x 0.20 m

V = 3.142 m/sec

Therefore the tangential velocity of the washer is 3.142 m/sec