Question

question 2
a bicycle travels 141 m along a circular track of radius 30 m. what is the angular displacement in radians of the bicycle from its starting position?
1.0 rad
3.0 rad
4.7 rad
9.4 rad
1.5 rad

Explanation:

Step1: Recall the formula for angular displacement

The formula for angular displacement \(\theta\) (in radians) is \(\theta=\frac{s}{r}\), where \(s\) is the arc - length and \(r\) is the radius of the circular path.

Step2: Substitute the given values

We are given that \(s = 141\space m\) and \(r=30\space m\). Substituting these values into the formula \(\theta=\frac{s}{r}\), we get \(\theta=\frac{141}{30}\).

Step3: Calculate the value

\(\frac{141}{30}=4.7\)

Answer:

\(4.7\space rad\)