Question

question 15
an object has a tangential velocity equal to 10 m/s as it revolves around a circle with a radius of 5 meters. how long does it take the object to complete one revolution?
3.14 seconds
1.57 seconds
6.28 seconds
2 seconds
50 seconds

Explanation:

Step1: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(r = 5\) m, \(C=2\times\pi\times5=10\pi\) m.

Step2: Use the formula \(t=\frac{d}{v}\) (where \(d = C\) and \(v\) is tangential velocity)

We know \(v = 10\) m/s and \(d = 10\pi\) m. Then \(t=\frac{10\pi}{10}=\pi\approx3.14\) s.

Answer:

3.14 seconds