The speed of the points of the rotating hoop is 10 m / s. Find the radius of the hoop if the centripetal
| September 10, 2021 | education
The speed of the points of the rotating hoop is 10 m / s. Find the radius of the hoop if the centripetal acceleration of its points is 200 m / s.
Given:
v = 10 meters per second – the speed of the points of the rotating hoop;
a (centripetal) = 200 m / s ^ 2 – centripetal acceleration of points.
It is required to determine R (meter) – the radius of the rotating hoop.
To determine the radius of the rotating hoop, you need to use the following formula:
a (centripetal) = v ^ 2 / R, hence:
R = v ^ 2 / a (centripetal) = 10 ^ 2/200 = 100/200 = 1/2 = 0.5 meters.
Answer: The radius of the rotating hoop is 0.5 meters (50 centimeters).
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