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

Step-by-step 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 $\frac{1}{4}$ of a complete circle

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

$V=\frac{2 \pi r}{T}$ (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:

$r=\frac{V T}{2 \pi}$ (2)

$r=\frac{(25 m/s)(4 s)}{2 \pi}$ (3)

Finally:

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