Question

A 47-cm-diameter wheel accelerates uniformly about its center from 140 rpm to 350 rpm in 5.0 s .

A) Determine its angular acceleration. Express your answer using two significant figures.

B) Determine the radial component of the linear acceleration of a point on the edge of the wheel 1.9 s after it has started accelerating. Express your answer to two significant figures and include the appropriate units.

C) Determine the tangential component of the linear acceleration of a point on the edge of the wheel 1.9 s after it has started accelerating. Express your answer using two significant figures.

Answer #1

Here we apply concept of circular motion and equation of motion for constant angular acceleration.

A 66-cm-diameter wheel accelerates uniformly about its center
from 120 rpm to 280 rpmrpm rpm in 4.6 s .
A.Determine its angular acceleration.
Express your answer using two significant figures.
B.
Determine the radial component of the linear acceleration of a
point on the edge of the wheel 2.0 s after it has started
accelerating.
Express your answer using two significant figures.
c.
Determine the tangential component of the linear acceleration of
a point on the edge of the wheel...

A 73-cm-diameter wheel accelerates uniformly about its center
from 150 rpm to 400 rpm in 3.7 s.
Part A Determine its angular acceleration. Express your answer
using two significant figures.
Part B Determine the radial component of the linear acceleration
of a point on the edge of the wheel 1.2 s after it has started
accelerating. Express your answer to two significant figures and
include the appropriate units.
Part C Determine the tangential component of the linear
acceleration of a...

A 60-cm-diameter wheel accelerates uniformly about its center
from 120 rpm to 260 rpm rpm in 4.4 s .
1-Determine its angular acceleration.
2-Determine the radial component of the linear acceleration of a
point on the edge of the wheel 2.0 s after it has started
accelerating.
3-Determine the tangential component of the linear acceleration
of a point on the edge of the wheel 2.0 s after it has started
accelerating.

A 60-cm-diameter wheel accelerates uniformly about its center
from 100 rpm to 250 rpm rpm in 4.6 s . 1. Determine its angular
acceleration. 2.Determine the radial component of the linear
acceleration of a point on the edge of the wheel 2.0 s after it has
started accelerating. 3. Determine the tangential component of the
linear acceleration of a point on the edge of the wheel 2.0 s after
it has started accelerating.

A 37-cm-diameter wheel accelerates uniformly about its center
from 120 rpm to 360 rpm in 3.7 s.
Determine its angular acceleration.
Determine the radial component of the linear acceleration of a
point on the edge of the wheel 1.5 s after it has started
accelerating.
Determine the tangential component of the linear acceleration of
a point on the edge of the wheel 1.5 s after it has started
accelerating.

A 63-cmcm-diameter wheel accelerates uniformly about its center
from 110 rpm to 290 rpm rpm in 4.4 s .
1) Determine its angular acceleration.
2) Determine the radial component of the linear acceleration of
a point on the edge of the wheel 2.0 ss after it has started
accelerating.
3) Determine the tangential component of the linear acceleration
of a point on the edge of the wheel 2.0 ss after it has started
accelerating.

A 39-cmcm-diameter wheel accelerates uniformly about its center
from 140 rpmrpm to 390 rpmrpm in 3.9 ss .
1. Determine the radial component of the linear acceleration of
a point on the edge of the wheel 1.9 ss after it has started
accelerating.
2. Determine the tangential component of the linear acceleration
of a point on the edge of the wheel 1.9 ss after it has started
accelerating.

A 0.6-m-diameter wheel is accelerated uniformly about its center
from 60 rpm to 120 rpm in 10 seconds. For a point on the edge of
the wheel, determine (a) the angular velocities of both
frequencies, (b) the angular acceleration, (c) the tangential
acceleration, and (d) the centripetal acceleration 3 seconds after
it has been accelerated.

A grinding wheel 0.27 m in diameter rotates at 2700 rpm .
A) Calculate its angular velocity in rad/s.
w =
B)
What is the linear speed of a point on the edge of the grinding
wheel?
Express your answer to two significant figures and include the
appropriate units.
v=
C) What is the acceleration of a point on the edge of the
grinding wheel?
Express your answer to two significant figures and include the
appropriate units.
aR =

An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50
min.
(a)
What is its angular acceleration in rad/s2?
__________ rad/s^2
(b)
What is the tangential acceleration, in m/s2, of a
point 10.80 cm from the axis of rotation?
_________ m/s2
(c)
What is the radial acceleration, in m/s2, of this
point at full rpm?
__________ m/s2
(d)
Express this radial acceleration as a multiple of
g.
_________ g

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