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: 16 mStep-by-step explanation:We have the following data:[tex]V=25 m/s[/tex] is the velocity of the object moving in uniform circular motion[tex]t=1 s[/tex] is the time it takes to the object to go [tex]\frac{1}{4}[/tex] of a complete circleWe need to find the radius [tex]r[/tex] of the circle, and this can be found by the following equation:[tex]V=\frac{2 \pi r}{T}[/tex] (1)Where [tex]2 \pi r[/tex] is the circumference of the circle and [tex]T=4 t=4(1 s)[/tex] is the period for a complete circle. Hence, isolating [tex]r[/tex] we have:[tex]r=\frac{V T}{2 \pi}[/tex] (2)[tex]r=\frac{(25 m/s)(4 s)}{2 \pi}[/tex] (3)Finally:[tex]r=15.9 m \approx 16 m[/tex] (4)