Rotational Kinematics (use rotational kinematic equations) 2. A centrifuge turning at 20000 rpm is suddenly turned off. Before it comes to a stop, the centrifuge spins for 1500 revolutions. Calculate the angular acceleration of the centrifuge assuming it to be constant. Page 3 of 4 Solution and Answer: We first convert 20000 rpm to rad/s. In doing so we get Wo = 20000 rpm (o seconds) (i revolution/ 1 minute Zn radians 2094.4 d (use this value for the initial angular velocity, wo) 1500 revolutions are equivalent to A8rad = 1500 rev x 2n = 9424.78 radians. (use this value for the angular position, 0) Now, given the initial angular velocity, wo final angular velocity, w and angular position, 0, which of the given rotational kinematic equations are you going to use for computing the angular acceleration, a? Show your solution and answer for the a of the centrifuge.

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Rotational Kinematics (use rotational kinematic equations)
2. A centrifuge turning at 20000 rpm is suddenly turned off. Before it comes to a
stop, the centrifuge spins for 1500 revolutions. Calculate the angular acceleration
of the centrifuge assuming it to be constant.
Page 3 of 4
Solution and Answer:
We first convert 20000 rpm to rad/s. In doing so we get
minute 2m radians
Wo = 20000 rpm (oseconde) ovelution) = 2094.4 (use this value for the initial
angular velocity, wo)
1500 revolutions are equivalent to A0raa = 1500 rev x 2n = 9424.78 radians. (use
this value for the angular position, 0)
Now, given the initial angular velocity, wo final angular velocity, w and
angular position, 6, which of the given rotational kinematic equations are
you going to use for computing the angular acceleration, a? Show your
solution and answer for the a of the centrifuge.
Moment of Inertia and Angular Momentum
3. A 35-kg child is sitting along the rim of a merry-go-
round that is rotating at 0.35 revolutions per second
about its symmetry axis. The mass and the radius of the
merry-go-round are 85 kg and 8 m, respectively.
Assume that you can treat the child as a point particle
and you can model the merry-go-round as a disc.
a. Calculate the moment of inertia of the system about its axis of
symmetry.
Hint: Compute for the moment of inertia of the child (Iehija = m,hijarm?) and the
of
inertia
of
the
merry-go-round
moment
(moment of inertia for a solid disc is mr² so Im =m,mm²) first then compute for
the sum, Iratal = Ichila + Im.
b. Calculate the total angular momentum of the system.
Hint: Use the moment of inertia of the whole system, Itotat acquired from letter
a, then use: = lw.
Transcribed Image Text:Rotational Kinematics (use rotational kinematic equations) 2. A centrifuge turning at 20000 rpm is suddenly turned off. Before it comes to a stop, the centrifuge spins for 1500 revolutions. Calculate the angular acceleration of the centrifuge assuming it to be constant. Page 3 of 4 Solution and Answer: We first convert 20000 rpm to rad/s. In doing so we get minute 2m radians Wo = 20000 rpm (oseconde) ovelution) = 2094.4 (use this value for the initial angular velocity, wo) 1500 revolutions are equivalent to A0raa = 1500 rev x 2n = 9424.78 radians. (use this value for the angular position, 0) Now, given the initial angular velocity, wo final angular velocity, w and angular position, 6, which of the given rotational kinematic equations are you going to use for computing the angular acceleration, a? Show your solution and answer for the a of the centrifuge. Moment of Inertia and Angular Momentum 3. A 35-kg child is sitting along the rim of a merry-go- round that is rotating at 0.35 revolutions per second about its symmetry axis. The mass and the radius of the merry-go-round are 85 kg and 8 m, respectively. Assume that you can treat the child as a point particle and you can model the merry-go-round as a disc. a. Calculate the moment of inertia of the system about its axis of symmetry. Hint: Compute for the moment of inertia of the child (Iehija = m,hijarm?) and the of inertia of the merry-go-round moment (moment of inertia for a solid disc is mr² so Im =m,mm²) first then compute for the sum, Iratal = Ichila + Im. b. Calculate the total angular momentum of the system. Hint: Use the moment of inertia of the whole system, Itotat acquired from letter a, then use: = lw.
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