Question

The balance wheel of a watch oscillates with angular amplitude 0.64? rad and period 0.62 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 0.64?/2 rad, and (c) the magnitude of the angular acceleration at displacement 0.64?/4 rad.

Answer #1

The balance wheel of a watch oscillates with angular amplitude
1.8? rad and period 0.44 s. Find (a) the maximum angular speed of
the wheel, (b) the angular speed of the wheel at displacement
1.8?/2 rad, and (c) the magnitude of the angular acceleration at
displacement 1.8?/4 rad.

The balance wheel of a watch oscillates with angular amplitude
1.0π rad and period 0.33 s. Find (a) the maximum
angular speed of the wheel, (b) the angular speed
of the wheel at displacement 1.0π/2 rad, and (c)
the magnitude of the angular acceleration at displacement 1.0π/4
rad.

1.A 1.10 kg block sliding on a horizontal frictionless surface
is attached to a horizontal spring with k = 490 N/m. Let
x be the displacement of the block from the position at
which the spring is unstretched. At t = 0 the block passes
through x = 0 with a speed of 3.40 m/s in the positive
x direction. What are the (a) frequency
and (b) amplitude of the block's motion
2.A vertical spring stretches 13 cm when a...

PRACTICE IT
A wheel rotates with a constant angular acceleration of 3.25
rad/s2. Assume the angular speed of the wheel is 2.20
rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t
= 0 and t = 2.00 s? Give your answer in radians and
revolutions.
___________ rad
___________ rev
(b) What is the angular speed of the wheel at t = 2.00
s?
___________rad/s
(c) What angular displacement (in revolutions) results while the
angular...

A wheel rotates with a constant angular acceleration of 3.90
rad/s2. Assume the angular speed of the wheel is 2.05
rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t
= 0 and t = 2.00 s? Give your answer in radians and
revolutions.
rad?
rev?
(b) What is the angular speed of the wheel at t = 2.00
s?
rad/s?
(c) What angular displacement (in revolutions) results while the
angular speed found in part...

A wheel rotates with a constant angular acceleration of 3.90
rad/s2. Assume the angular speed of the wheel is 1.55
rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t
= 0 and t = 2.00 s? Give your answer in radians and
revolutions.
___________rad
___________ rev
(b) What is the angular speed of the wheel at t = 2.00
s?
__________rad/s
(c) What angular displacement (in revolutions) results while the
angular speed found in...

What is the angular displacement of a wheel that accelerates
from rest to 6 rad/s with an angular acceleration of 2
rad/s2?

A wheel 1.32 m in diameter rotates at 1225 rpm.
(a) Find the angular in rad/s.
(b) What is the linear speed and acceleration of the point on the
edge of the wheel?
(c) If the wheel travels 12.5 km calculate the number of
revolutions that the wheel
makes.

A machine part rotates at an angular speed of 0.056 rad/s; its
speed is then increased to 1.5 rad/s at an angular acceleration of
0.80 rad/s2.
(a) Find the angle through which the part rotates before
reaching this final speed.
rad
(b) If both the initial and final angular speeds are doubled and
the angular acceleration remains the same, by what factor is the
angular displacement changed?
by a factor of 2
by a factor of 4
by a factor...

A compact disc rotates from rest up to an angular speed of 31.6
rad/s in a time of 0.913 s.
(a) What is the angular acceleration of the disc, assuming the
angular acceleration is uniform?
______________ rad/s2
(b) Through what angle does the disc turn while coming up to
speed?
rad
(c) If the radius of the disc is 4.45 cm, find the tangential
speed of a microbe riding on the rim of the disc.
____________ m/s
(d) What is...

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