Question

A
machinist turns the power onto a grinding wheel, at rest, at time
t= 0s. The wheel accelerates uniformly for 10 s and reaches the
operating angular velocity of 24 rad/s. The wheel is run at that
angular velocity for 37 s and then power is shut off. The wheel
slows down uniformly at 2.2 rad/s^2 until the wheel stops. In this
situation, the total number of revolutions made by the wheel is
closest to:

-450

-180

-90

-360

-270

Answer #1

A machinist turns the power on to a grinding wheel, at rest, at
time t = 0 s. The wheel accelerates uniformly for 10 s and reaches
the operating angular velocity of 42 rad/s. The wheel is run at
that angular velocity for 32 s and then power is shut off. The
wheel slows down uniformly at 2.2 rad/s^2 until the wheel stops. In
this situation, the total number of revolutions made by the wheel
is closest to:
- 310...

A solid, cylindrical grinding wheel has mass 2.37 kg and
diameter 11.0 cm. It has an angular speed of 1224 rev/min. when the
motor that turns it is shut off. The wheel slows uniformly to a
stop after 48 seconds due to frictional forces.
Find:
a. angular accleleration
b. number of revolutions during the 48 seconds
c. frictional torque that caused the wheel to slow to a stop
d. wheels initial kinetic energy
e. frictional power

At time t=0 a grinding wheel has an angular velocity of
26.0 rad/s . It has a constant angular acceleration of 33.0 rad/s2
until a circuit breaker trips at time t = 2.40 s . From
then on, the wheel turns through an angle of 431 rad as it coasts
to a stop at constant angular deceleration.
A) At what time does the wheel stop?
B) What was the wheel's angular acceleration as it slowed
down?

At time t=0 a grinding wheel has an angular velocity of 29.0
rad/s . It has a constant angular acceleration of 26.0 rad/s^2
until a circuit breaker trips at time t = 2.30 s . From then on,
the wheel turns through an angle of 431 rad as it coasts to a stop
at constant angular deceleration.
Part A) Through what total angle did the wheel turn between t=0
and the time it stopped?
Part B) At what time does...

At time t=0 a grinding wheel has an angular velocity of
23.0 rad/s . It has a constant angular acceleration of 35.0 rad/s2
until a circuit breaker trips at time t = 2.10 s . From
then on, the wheel turns through an angle of 436 rad as it coasts
to a stop at constant angular deceleration
Part A) Through what total angle did the wheel
turn between t=0 and the time it stopped?
Part B) At what time does...

At time t=0 a grinding wheel has an angular velocity of 28.0
rad/s . It has a constant angular acceleration of 28.0 rad/s2 until
a circuit breaker trips at time t = 2.00 s . From then on, the
wheel turns through an angle of 440 rad as it coasts to a stop at
constant angular deceleration. A-Through what total angle did the
wheel turn between t=0 and the time it stopped? Express your answer
in radians. B-At what time...

At t=0 a grinding wheel has an angular velocity of 21.0 rad/s .
It has a constant angular acceleration of 33.0 rad/s2 until a
circuit breaker trips at time t = 2.40 s . From then on, it turns
through an angle 433 rad as it coasts to a stop at constant angular
acceleration.
A-Through what total angle did the wheel turn between t=0 and
the time it stopped?
B-At what time did it stop?
C-What was its acceleration as...

At t=0 a grinding wheel has an angular velocity of 21.0
rad/s . It has a constant angular acceleration of 33.0 rad/s2 until
a circuit breaker trips at time t = 1.70 s . From then on,
it turns through an angle 440 rad as it coasts to a stop at
constant angular acceleration.
1.Through what total angle did the wheel turn between
t=0 and the time it stopped?
2.At what time did it stop?
3.What was its acceleration as...

At t=0 a grinding wheel has an angular velocity of 30.0
rad/s . It has a constant angular acceleration of 35.0 rad/s2 until
a circuit breaker trips at time t = 1.90 s . From then on,
it turns through an angle 440 rad as it coasts to a stop at
constant angular acceleration.
Q1: Through what total angle did the wheel turn between
t=0 and the time it stopped?
Q2: At what time did it stop?
Q3: What was...

Assessment
Identify the Variables!
In rotational kinematics - the variables are:
t = time, which is measured in s (for seconds)
θ = angle = what angle did the object turn thru, usually
measured radians
ωO = initial angular velocity = the rotational speed
of the object at the beginning of the problem, which is measured in
rad/s
ω = final angular velocity = the rotational speed of the object
at the end of the problem, which is measured in...

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