Question

A truck is moving around a circular curve at a uniform velocity of 13 m/s. If the centripetal force on the truck is 3,300 N and the mass of the truck is 1,600 kg, what's the radius of the curve?
A. 6.30 m
B. 81.94 m
C. 109.09 m
D. 348.56 m

Answer 1

Answer: Option B.

Since here the truck is moving on a circular track, it will experience centripetal force.

F(centripetal) = m × acc 
or 
$r = \frac{m v^{2}}{F}$

where r is the radius of the track. 
m is the mass of truck
v is the speed  of the truck. 
Given: v = 13 m/s
m = 1,600 kg
F = 3300 Newton

To find = radius of track=?
$r = \frac{m v^{2} }{F}$
$r = \frac{1600*13*13}{3300}$
r = 81.94 m
Therefore, radius of track is 81.94 m

Answer 2

The Correct answer to this question for Penn Foster Students is: 81.94m