Question

Caleb is swinging Rachel in a circle with a centripetal force of 533 N. If the radius of the circle is 0.75 m and Rachel has a mass of 16.4 kg, how fast is Rachel moving? Round to the nearest tenth.

Answer 1

centripetal force = 533N
radius = 0.75 m
mass = 16.4 kg
How fast is rachel moving? we are looking for v = velocity

centripetal force = (mv^2)/r

533 = ((16.4)(v^2))/.75
cross multiply

(533)(.75) = (16.4)v^2

((533)(.75))/16.4 = v^2
v^2= 24.375

take the square root

v = 4.9

Rachel is moving at 4.9 m/s