Question

A tennis coach paces back and forth along the sideline $10$ times in $2$ minutes. The frequency of her pacing is …. $Hz$.

• A. $5.0$
• B. $0.20$
• C. $0.12$
• D. $0.083$

Answer 1

The correct option is D

$0.083$

Step 1: Given

1. The tennis coach paces back and forth along the sideline $10$ times in $2$ minutes.
2. It means, the coach completes $10$ cycles in $2$ minutes, that is, $120$ seconds.
3. We know that frequency is the number of rotations completed in one second.

Step 2: Find the frequency

We can use the rule of proportions to find the frequency as follows,
In $120$ seconds, the number of rotations$=10$,
So $1$ second, the number of rotations $=f(?)$

So,$f=\frac{1\times 10}{120}=\frac{1}{12}Hz=0.083Hz$

(d)$=0.083Hz$

hence, the correct option is D.