Question

As your bus rounds a flat curve at constant speed, a package with mass 0.900 kg , suspended from the luggage compartment of the bus by a string 50.0 cm long, is found to hang at rest relative to the bus, with the string making an angle of 30.0 â with the vertical. In this position, the package is 55.0 m from the center of curvature of the curve.
Required:
a. What is the radial acceleration of the bus?
b. What is the radius of the curve?

Answer 1

Answer:

a.$5.66ms^{-2}$

b.55 m

Explanation:

We are given that

Mass ,m=0.9 kg

Length of string,l=50 cm=$\frac{50}{100}=0.50 m$

1 m=100 cm

$\theta=30^{\circ}$

R=55 m

a.Centripetal acceleration

$a_c=gtan\theta$

$a_c=9.8tan30^{\circ}$

$a_c=5.66 m/s^2$

Hence, the radial acceleration of the bus=$5.66m/s^2$

b. Radius of curve,R=55 m