Question

A ball is moving in a circle of radius 14.9 meters has a period of 20 seconds. To the nearest tenth of a m/s, what is its speed?

Answer 1

t = 20s , r = 14.9m

Velocity V = 2.pie.r/t = 2×3.143×14.9/20 = 4.68m/s

=) V = 4.7m/s

Answer 2

To calculate the speed of the ball moving in a circle, use the formula:

$$v = \frac{2 \pi r}{T}$$v=T2πr

Where:

• $r = 14.9 \, \text{m}$r=14.9m is the radius.

• $T = 20 \, \text{seconds}$T=20seconds is the period.

Substitution:

$$v = \frac{2 \times 3.1416 \times 14.9}{20}$$v=202×3.1416×14.9$$v = \frac{93.604}{20}$$v=2093.604$$v \approx 4.7 \, \text{m/s}$$v≈4.7m/s

•  The speed of the ball is approximately 4.7 m/s.