Which of the following angles equals 2p radians?

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Transcript Which of the following angles equals 2p radians?

Which of the following
angles equals 2p radians?
3600
0
b. 180
0
c. 0
d. 3.140
a.
Ans: A
How would an angle in radians be
converted to an angle in degrees?
a.
b.
c.
d.
The angle in radians would be multiplied
by 1800/p
The angle in radians would be multiplied
by 3600/p
The angle in radians would be multiplied
by 1800/2p
The angle in radians would be multiplied
by 2p/3600
Ans: A
At the Equator the Earth has a radius
of 6380000 m and it rotates 3600
every 24 hours. What is the angular
displacement of a person standing at
the equator for 3 hours?
a.
b.
c.
d.
0.26 rad
0.52 rad
0.78 rad
0.39 rad
Ans: C
A child sits on a carousel at a
distance of 3.5 m from the center
and rotates through an arc length
of 6.5 m. What is the angular
displacement of the child?
1.9 rad
b. 0.93 rad
c. 3.0 rad
d. 5.0 rad
a.
Ans: A
A ceiling fan initially at rest
accelerates to a final angular speed
of 0.70 rad/s and rotates through
an angular displacement of 4.90
rad. What is the ceiling fan’s
average angular acceleration?
0.10 rad/s2
b. 0.05 rad/s2
c. 1.80 rad/s2
d. 0.60 rad/s2
a.
Ans: B
The end of the cord on a weed
cutter is 0.15 m in length. If the
motor rotates at the rate of 126
rad/s, what is the tangential speed
of the cord?
a.
b.
c.
d.
628 m/s
25 m/s
19 m/s
63 m/s
Ans: C
A stone on the edge of a tire with a
radius of 0.25 m has a centripetal
acceleration of 4.0 m/s2. What is
the tire’s angular speed?
a.
b.
c.
d.
1.0 rad/s
2.0 rad/s
3.2 rad/s
4.0 rad/s
Ans: D
A 0.40 kg ball on a 0.50 m string rotates
in a circular path in a vertical plane. If a
constant angular speed of 8.0 rad/s is
maintained, what is the force that
maintains circular motion when the ball
is at the top of the circle?
9.0 N
b. 11 N
c. 13 N
d. 10.0 N
a.
Ans: C
The direction of an object’s
centripetal acceleration while
moving in uniform circular motion
is
a.
b.
c.
d.
Ans: C
Tangent to the circle
Opposite to the direction of motion
Toward the center of the circle
Outward from the center of the circle
The direction of an object’s linear
speed while moving in uniform
circular motion is
Ans: A
a.
b.
c.
d.
Tangent to the circle
Opposite to the direction of motion
Toward the center of the circle
Outward from the center of the circle
The direction of the force
maintaining an object’s circular
path is
a.
b.
c.
d.
Ans: C
Tangent to the circle
Opposite to the direction of motion
Toward the center of the circle
Outward from the center of the circle