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 = [tex]\frac{Number of revolutions}{time}[/tex]
given the number of revolution as 30 and time 12 secs our angular velocity can be obtained as;
ω = [tex]\frac{30}{12 secs}[/tex]
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
