NAME: BISMONTE, MA. ELIZABETH| HOMEWORK # 2 |
SUBJECT/SECTION: PHY11/B6| SCORE: |
TOPIC: RIGID BODIES, ROTATIONAL KINEMATICS, MOMENT OF INERTIA|

1. A child is pushing a merry-go-round. The angle through the merry-go-round has turned varies with time according to θ(t) = γt + βt3, where γ = 0.400 rad/s and β = 0.0120 rad/s3. a. Calculate the angular acceleration as a function of time.

b. What is the initial value of the angular velocity?

c. Calculate the instantaneous value of the angular velocity at t =5.00 s and the average angular velocity for the time interval t = 0 to t = 5.00 s.

2. At t = 0 the current to a dc electric motor is reversed, resulting in an angular displacement of the motor shaft given by to θ(t) = (250 rad/s)t - (20.0 rad/s2)t2 – (1.50 rad/s3)t3. a. At what time is the angular velocity of the motor shaft zero?

b. Calculate the angular acceleration at the instant that the motor shaft has zero angular velocity.

c. How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero?

d. How fast was the motor shaft rotating at t =0, when the current was reversed?

e. Calculate the average angular velocity for the time period from t = 0 to the time calculated in part a.

3. A wheel is rotating about an axis that is in the z direction. The angular velocity is – 6.00 rad/s at t = 0, increases linearly with time, and is +8.00 m/s at t = 7.00 s. We have taken counterclockwise rotation to be positive. a. Is the angular acceleration during this time interval positive or negative?

b. During what time interval is the speed of the wheel increasing? Decreasing?

c. What is the angular displacement of the wheel at t = 7.00s?

4. A turntable rotates with a constant 2.25 rad/s2 angular acceleration. After 4.00 s it has rotated through an angle of 60.0 rad. What was the angular velocity of the wheel at the...

... a distance L2 from the pivot point. L2 > L1. Calculate all torques about the pivot point, remembering that positive is anti-clockwise.
Select Yes, No, Less than, Equal to, or Cannot tell.
If m1 * L2 = m2 * L1, is there a negative torque?
Given particular values of L1, L2, and m1, is it always possible to choose m2 such that the masses have no angularacceleration?
For m1 = m2, does the angular...

...Angular momentum and its properties were devised over time by many of the great minds in physics. Newton and Kepler were probably the two biggest factors in the evolution of angular momentum. Angular momentum is the force which a moving body, following a curved path, has because of its mass and motion. Angular momentum is possessed by rotating objects. Understanding torque is the first step to understanding...

...two pulleys 120 cm and 40 cm diameter on parallel shafts 4 m
apart. The maximum tension in the belt is 1855 N. The coefficient of friction is 0.3. The
driver pulley of diameter 120 cm runs at 200 rpm. Calculate:
(i) The power transmitted.
(ii) Torque on each of the two shafts.
4
A steel ball of diameter 150 mm rests centrally over a concrete cube of size 150 mm.
Determine the center of gravity of the system, taking weight of concrete = 25,000 N/m2 and
that of steel...

...and dirty secrets of a twisted mind, a serial killer stalking his prey in the subway. And Duncan can't stop reading. What would you do with a book like that? How far would you go to catch a madman? This is the teaser to an amazing book I read “Acceleration” By: Graham McNamee.
Duncan the main leading character of the story discovers a journal belonging to what he thinks is a serial killer and he uses his knowledge of profiling as well as the clues from the journal to try to...

...in Lesson 1 is acceleration. An often confused quantity, acceleration has a meaning much different than the meaning associated with it by sports announcers and other individuals. The definition of acceleration is:
Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.
Sports announcers will occasionally say that a person is...

...Acceleration from Gravity on an Incline
I. Introduction:
Acceleration is the rate of change of the velocity of a moving body. Galileo was the first person to actually experiment and examine the concept of acceleration back in the seventeenth century. Acceleration can be determined by calculating the gravity and an incline. An incline is slope that is deviated between horizontal and vertical positions. Gravity is the natural force...

...1900 rev/min.
a. Compute the propeller's angular velocity in rad/s.
b. How long in seconds does it take for the propeller to turn through 30.0 degrees?
9. A disk with a 1.0-m radius reaches a maximum angular speed of 18 rad/s before it stops 30 revolutions after attaining the maximum speed. How long did it take the disk to stop?
10. A net torque of 36 N.m acts on a wheel rotating about a fixed axis for 6 s. During this time the...

...Uniform linear acceleration
Introduction
This topic is about particles which move in a straight line and accelerate uniformly. Problems can vary enormously, so you have to have your wits about you. Problems can be broken down into three main categories:
Constant uniform acceleration
Time-speed graphs
Problems involving two particles
Constant uniform acceleration
Remember what the following variables represent: t = the time ; a = the...

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