Question

1. A particle moves in a circle of radius 90 m with a constant speed of 25 m/s. a) What is its angular velocity about the center of the circle? b) How many revolutions does it make in 30 s? Ans: ?=0.277 rad/s; # of revolutions=1.32 2. A wheel starts from rest with constant angular acceleration of 2.6 rad/s². After 6 s: a) What is its angular velocity? b) Through what angle has the wheel turned? c) How many revolutions had it made? d) What is the speed and tangential acceleration of a point 0.3 m from the axis of rotation? Ans: ?=15.6 rad/s; ??=46.8 rad; # of rev.=7.45; v=4.68 m/s; at=0.78 m/s² 3. When a turntable rotating at 33.33 rev/min is shut off, it comes to rest in 26 s. Assuming constant angular acceleration, find: a) the angular acceleration; b) the number of revolutions it makes before stopping. Ans: ?= -0.134 rad/s²; ??= 45.45 rad; # of rev. = 7.23

          1. A particle moves in a circle of radius 90 m with a constant speed of 25 m/s.
a) What is its angular velocity about the center of the circle?
b) How many revolutions does it make in 30 s?
Ans: ?=0.277 rad/s; # of revolutions=1.32

2. A wheel starts from rest with constant angular acceleration of 2.6 rad/s². After 6 s:
a) What is its angular velocity?
b) Through what angle has the wheel turned?
c) How many revolutions had it made?
d) What is the speed and tangential acceleration of a point 0.3 m from the axis of
rotation?
Ans: ?=15.6 rad/s; ??=46.8 rad; # of rev.=7.45; v=4.68 m/s; at=0.78 m/s²

3. When a turntable rotating at 33.33 rev/min is shut off, it comes to rest in 26 s. Assuming
constant angular acceleration, find:
a) the angular acceleration;
b) the number of revolutions it makes before stopping.
Ans: ?= -0.134 rad/s²; ??= 45.45 rad; # of rev. = 7.23

1. A particle moves in a circle of radius 90 m with a constant speed of 25 m/s.
a) What is its angular velocity about the center of the circle?
b) How many revolutions does it make in 30 s?
Ans: ?=0.277 rad/s; # of revolutions=1.32

2. A wheel starts from rest with constant angular acceleration of 2.6 rad/s². After 6 s:
a) What is its angular velocity?
b) Through what angle has the wheel turned?
c) How many revolutions had it made?
d) What is the speed and tangential acceleration of a point 0.3 m from the axis of
rotation?
Ans: ?=15.6 rad/s; ??=46.8 rad; # of rev.=7.45; v=4.68 m/s; at=0.78 m/s²

3. When a turntable rotating at 33.33 rev/min is shut off, it comes to rest in 26 s. Assuming
constant angular acceleration, find:
a) the angular acceleration;
b) the number of revolutions it makes before stopping.
Ans: ?= -0.134 rad/s²; ??= 45.45 rad; # of rev. = 7.23

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