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.

Respuesta :

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

Velocity of Rachel is 4.93 m/s

Given that;

Centripetal force = 533 N

Radius of circle = 0.75 m

Mass of Rachel = 16.4 kg

Find:

Velocity of Rachel

Computation:

Centripetal force = Mv² / r

So,

533 = [(16.4)(v²)] / 0.75

399.75 = (16.4)(v²)

v² = 399.75 / 16.4

v² = 24.375

v = √24.375

v = 4.93 m/s

Learn more:

https://brainly.com/question/8648874?referrer=searchResults