Question

Neena goes around a circular track that has a diameter of $7m$. If she runs around the entire track for a distance of $50m$, what is her angular displacement?

• A. $6.28radians$
• B. $3.14radians$
• C. $7.14radians$
• D. $14.28radians$

Answer 1

The correct option is D $14.28radians$

According to the question, linear distance covered by Neena, $s=50m$
Also, diameter of the curved path is $d=7m$
As we know that $d=2r$, $r=\frac{7}{2}=3.5m$
And, according to the formula for angular displacement.
$\theta =\frac{l}{r}=\frac{s}{r}$
$\Rightarrow \theta =\frac{50m}{3.5m}$
$\Rightarrow \theta =14.28radians$