Question

3.

An object is travelling on a circular track. If the radius of the track is 5.5
m and the period is 18 seconds, what's the objects velocity? (Round to
the nearest hundredth)

Answer 1

1.92 m/s

Step-by-step explanation:

Velocity is defined as the distance moved per unit time with consideration of the direction. The direction aspect differentiates speed from velocity since for speed, we don't need to consider the direction.

`v=\frac {d}{t}`

Distance moved for circular path is equal to its circumference and the circumference is given by
`2\pi r` where r is the radius and substituting
`2\pi r` for d then

`v=\frac {2\pi r}{t}`

Substituting 5.5 m for r and 18 s for t then

`v=\frac {2\pi * 5.5}{18}=1.919862177 m/s\approx 1.92 m/s`

To the nearest hundredth, the velocity is 1.92 m/s