Chapter 3 More Practice Word Problems
Q
1. A circular serving table in a buffet has a radius of 3 feet. It makes 2.5 revolutions per minute.
Determine the angular velocity in radians per second of a bowl of peaches sitting on the
serving table.
2. The fastest human on a bike was John Howard, who achieved an incredible speed of J 52.3
miles per hour in 1985. If the tires on John's bike have a diameter of 30 inches and during a
warm-up are turning at a rate of 141 revolutions per minute, determine the bicycle's speed in
miles per hour.
3. A pulley with a radius of 12 cm turns at 7 revolutions per second. What is the linear velocity of
the belt driving the pulley in centimeters per second? [challenge: what is the linear velocity of
the belt in meters per second?]
4. A truck drives 55 miles per hour. The truck has tires with 26 inch diameter. What is the angular
velocity of the tires in radians per second? [challenge: how many revolutions per second do
the tires make?]
5. A Ferris wheel ride does 6 revolutions in 2 minutes and 30 seconds. The diameter of the Ferris
wheel is 100 feet in diameter. Find the angular velocity in radians per minute and the linear
velocity in miles per hour of a seat on the ride.
6. Two wheels are rotating in such a way that the rotation of the smaller wheel causes the
larger wheel to rotate. The radius of the smaller wheel is 3.0 centimeters and the radius
of the larger wheel is 13.3 centimeters. Through how many degrees will the larger wheel
rotate if the smaller one rotates 53°?
7. The minute hand of a clock is 6 inches long. What distance does its tip move in 16 minutes?
8. A phonograph record has a radius of 3 inches and revolves at 45 rpm. Find the linear speed of
a point on the outside edge of the record.
9. A car is traveling 60 mph. The diameter of the wheels is 3 ft.
a) Find the number of revolutions per minute the wheels are rotating.
b) What is the angular speed of the wheels in radians per minute?
1
_
"
~~~~M~p~,h~~}
_______ ~
~ GSM~v\ J (0 'nr/~
--I
I
_
ull O$A£p1fi(-,,-_~--,-1----,-3L-? ~hJ~c.,-,,-,~-----,f<-=od~j
~t1-..,;(,
\/__ '::'-,-C--"I
sr=-,
LA..-..:::)
__ -=--=UJ=--'-"--=''-f
I
R -- G~p '11'v
~
----
,~O'
S~\Ef
S::. '3 i~3 (fl'.----
/
/
/
s~
<.8
C'J=- 5>
v
r<
"""
1.
-' Y
5'1f:) 1;'-"
I
(C ,
-!.-
1(7,'(.)
\ 9;'0
-,D
/3,3
.~,..,.
q
;20~(o S :21l1'37 y E.Q;J
17'-"
~/{,9&:- -
I
---i-fl ~t Lv ~ :i
I
00
~!r~3~~
15
~G~/~~J~!~~~i~_·
_
I
I
w~
[-~~-~~~J
ib}
A:b2'-iN1.;ub~5
--------~~~~----.~--==~~.--~.-~
~
1
-------
(,G-'J
-------1----------------------------------------------------
~
,----...-
l~in
~---
!----------------------------