A compact disc's rotation varies from about 190 rpm to 480 rpm. if the disc plays for 71 min, what's its average angular acceleration in (a) rpm/s and (b) rad/s2?
A compact disc's rotation varies from about 190 rpm to 480 rpm. if the disc plays for 71 min, what's its average angular acceleration in (a) rpm/s and (b) rad/s2?
A compact disc's rotation varies from about 190 rpm to 480 rpm. if the disc plays for 71 min, what's its average angular acceleration in (a) rpm/s and (b) rad/s2?
A compact disc's rotation varies from about 190 rpm to 480 rpm. if the disc plays for 71 min, what's its average angular acceleration in (a) rpm/s and (b) rad/s2?
Transcribed Image Text:Acceleration
eration?
res uniformly?
Determine the angular speed, in rad/s, of (a) Earth about its axis;
(b) the minute hand of a clock; (c) the hour hand of a clock; and
(d) an eggbeater turning at 300 rpm.
What's the linear speed of a point (a) on Earth's equator and
(b) at your latitude?
11.
s zero. Must the
terexample.
re to an object
ject's motion
12.
13. Express each of the following in radians per second: (a) 720 rpm;
(b) 50°/h; (c) 1000 rev/s; (d) 1 rev/year (Earth's angular speed in
s and radius
otal kinetic
its orbit).
14. A 32-cm-diameter circular saw blade spins at 2100 rpm. How
fast would you have to push a straight hand saw to have the teeth
move through the wood at the same rate as the circular saw teeth?
15. A compact disc’s rotation varies from about 190 rpm to 480 rpm.
If the disc plays for 71 min, what’s its average angular accelera-
tion in (a) rpm/s and (b) rad/s?
16. During startup, a power plant's turbine accelerates from rest
at 0.60 rad/s“. (a) How long does it take to reach its 5400-rpm
operating speed? (b) How many revolutions does it make during
ss and ra-
hich has
power
-stops
scle.
s of
17. A merry-go-round starts from rest and accelerates with angular
acceleration 0.011 rad/s² for 14 s. (a) How many revolutions does
it make during this time? (b) What's its average angular speed?
this time?
he
ar
Transcribed Image Text:Section 10.1 Angular Velocity and Acceleration
11. Determine the angular speed, in rad/s, of (a) Earth about its axis;
(b) the minute hand of a clock; (c) the hour hand of a clock; and
(d) an eggbeater turning at 300 rpm.
12. What's the linear speed of a point (a) on Earth's equator and
(b) at your latitude?
13. Express each of the following in radians per second: (a) 720 rpm;
(b) 50°/h; (c) 1000 rev/s; (d) 1 rev/year (Earth's angular speed in
its orbit).
14. A 32-cm-diameter circular saw blade spins at 2100 rpm. How
fast would you have to push a straight hand saw to have the teeth
move through the wood at the same rate as the circular saw teeth?
15. A compact disc's rotation varies from about 190 rpm to 480 rpm.
If the disc plays for 71 min, what's its average angular accelera-
tion in (a) rpm/s and (b) rad/s²?
16. During startup, a power plant's turbine accelerates from rest
at 0.60 rad/s². (a) How long does it take to reach its 5400-rpm
a merry-go-round revolving
any tangential acceleration?
city increases uniformly?
net force is zero. Must the
give a counterexample.
wise torque to an object
vill the object's motion
e same mass and radius
e the same total kinetic
e same mass and ra-
ne speed. Which has
ng after the power
, the motor stops
ually no muscle.
"ain in terms of
operating speed? (b) How many revolutions does it make during
this time?
17. A merry-go-round starts from rest and accelerates with angular
acceleration 0.011 rad/s² for 14 s. (a) How many revolutions does
it make during this time? (b) What's its average angular speed?
the Sun in the
own angular
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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