Question

ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. An object moves in uniform circular motion at 25 m/s and takes 1.0 second to go a quarter circle. What is the radius of the circle? R = _____ m 0.063 m 0.99 m 16 m 50. m

Answer 1

Answer: 16 m

Explanation:

We have the following data:

`V=25 m/s` is the velocity of the object moving in uniform circular motion

`t=1 s` is the time it takes to the object to go
`(1)/(4)` of a complete circle

We need to find the radius
`r` of the circle, and this can be found by the following equation:

`V=(2 \pi r)/(T)` (1)

Where
`2 \pi r` is the circumference of the circle and
`T=4 t=4(1 s)` is the period for a complete circle.

Hence, isolating
`r` we have:

`r=(V T)/(2 \pi)` (2)

`r=((25 m/s)(4 s))/(2 \pi)` (3)

Finally:

`r=15.9 m \approx 16 m` (4)