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?

Answer 1

Answer:

radius of the circular curve is 81.94 m

Step-by-step explanation:

Hi,

Given that truck is moving around a circular curve,

Given unifrom velocity of a truck, let it be 'v' = 13 m/s

Given centripetal force on the truck ,let it be 'F' = 3,300 N

Given mass of the truck ,let it be 'm' = 1,600 kg

Suppose, if a body of mass 'm' is moving around a circular path with radius

'r' and uniform velocity 'v', the the centripetal force 'F' which always acts

towards the center f the circular curve is given by F = mv²/r

Now, F = 3300 = 1600*(13)²/r

⇒ r = 16*169/33

⇒ r ≈ 81.94 m.

Hence , the radius of the circular curve is 81.94 m

Hope, it helped !

Answer 2

Answer:

Radius of circle is = 81.94 m

Step-by-step explanation:

Velocity = v = 13 m /s

Centripetal force = F = 3,300 N

mass of truck = 1,600 kg

To Find:

radius of curve = r = ?

Solution:

Given to us is the valocity , centripetal force and mass of the truck and we have to find the radius. we can find it by the formula of centripetal force

which is given by the formula

$F=\frac{m*v^{2} }{r}$

Now putting in the values we get

$3300=\frac{1600*13^{2}}{r}$

Cross multiplication gives

$r=\frac{1600*13^{2}}{3300}$

$r=\frac{1600*169}{3300}$

Solving and computing it becomes

r = 81.94 m

Radius of circle is = 81.94 m