Radial Net Forces and Circular Motion Problems (#3)
For each of the problems below, a diagram is really important. You must begin your solution with a clear,
accurate free body diagram. Show your solutions step by step starting with the basic conceptual equation
(Newton’s 2
nd
Law). Use separate pieces of paper to solve these problems.
3
1. Saturn travels at an average speed of 9.66 x 10
m/s around the Sun in a roughly circular orbit. Its
12
m. How long in seconds and earth years is a “year” on Saturn?
distance from the Sun is 1.43 x 10
2
r
v
T
12
2
. 1 (
43
x
10
)
9660
T
r=1.43x10
m
12
8
T
. 9
30
x
10
s
29
5 .
yrs
V=9660m/
s
6
2. Consider the radius of the Earth to be 6.38 x 10
m. What is the magnitude of the centripetal acceleration
experienced by a person (a) at the equator and (b) at the north pole due to the Earth’s rotation?
2
2
v
4
r
a
C
2
r
T
2
a) At equator a
= 0.034 m/s
= 0.0034 g’s
c
b) At pole, r = 0 so a
= 0
c
3. You tie a string to a rock and twirl it at a constant speed in a horizontal
circle with a radius of 1.30 m, 2.10 m above the ground. The rock
comes loose and travels as a projectile a horizontal distance of 9.40 m
before striking the ground.
F
1.3m
T
v
0
2.1m
9.4m
(a) What was the magnitude of the centripetal acceleration of the rock when it was on the string?
(b) What was the speed when it was on the string?