Question

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 ? helpppppp me

Answer 1

v=2
`\pi`R f

v - speed
R-radius
f - frequency (number of turns in 1 second, your object makes a quarter of turn in a second or 0.25)

25 = 2 * 3.14 * R * 0.25
R = about 15.9 m

Answer 2

For t = 1 s:
l ( Arc measure ) = 25 m/s * 1 s = 25 m
For a quarter of the circle:
α = 360° : 4 = 90°
l = r π α / 180°
25 m = r * 3.14 * 90°/ 180°
r = 50 m : 3.14
Answer:
r = 15.92 m