A point (labelled P in the figure) is attached to the rim of a disk of radius 0.2 m, which can turn around an axis through its center. It is rotating counterclockwise with a speed of 2.5 m/s.
To find the angular velocity of the point P, we can use the formula:
ω = v / r
where ω is the angular velocity, v is the linear velocity, and r is the radius.
Given:
v = 2.5 m/s
r = 0.2 m
Plugging these values into the formula, we get:
ω = 2.5 / 0.2
Simplifying the expression, we get:
ω = 12.5 rad/s
Therefore, the angular velocity of the point P is 12.5 rad/s.
To determine the angular velocity of the point P, we can use the formula:
Angular velocity (ω) = linear velocity (v) / radius (r)
Given that the linear velocity is 2.5 m/s and the radius is 0.2 m, we can substitute these values into the formula:
ω = 2.5 m/s / 0.2 m
Simplifying the expression:
ω = 12.5 rad/s
Therefore, the angular velocity of the point P is 12.5 rad/s.