A disc without slipping rolls down a hill of vertical height 1000cm. If thedisc starts from rest at the top of the hill, what is its magnitude of velocityangular speeds at the bottom. Neglect friction. (1.96 ms", 7.84 rad s)12 Amotor car is traveling at a speed of 30 ms'. If its wheet has a diameter of1.5m, find its angular speed in rad s' and revs'. (40 rad s', 6.36 rev s)190UnitNUMERICAL QUESTIONSmin cooking period.What(2.79 rad/s',15.0gais the angular acceleration and the stopping time?(T=0.4N)speed of 2ms'. Find the tension in the string.(a = 0.00271msin 27.3 days. W hat is the centripetal acceleration?(65.17 radsthe angular acceleration is uniform find the number of revolutions(300 rev)made before stopping.What is the moment of inertia of a 100 kg sphere whose radius is 50 cm2(10kgm)A rope is wrapped several times around a cylinder of radius 0.2 m and mas30 kg. What is the angular acceleration of the cylinder if the tension in therope is 40 N and it turns without friction?(13.3 rads)What is the kinetic energy of a 5.0 kg solid ball whose diameter is 15 mifitrolls across a level surface with a speed of 2m s?(14J)OA cylinder of 50cm diameter at the top of an incline 29.4cm high an10m long is released and rolls down the incline. Find its linear anangular speeds at the bottom. Neglect friction. (1.96 ms', 7.84 rad sat the bottom?(11.4ms)1.5m, find its angular speed in rad s' and revs'.

We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

NUME RICAL QUESTIONS O If the plate microwave oven has a radius of 0.15 m and rotates at 60 rev/min, calculate the total distance traveled by the fly during a 20 grum of radius 40 cm is initially rotating at 400 min cooking period. ught to stop after making 50 revolutions. What lar 1270

NUME RICAL QUESTIONS O If the plate microwave oven has a radius of 0.15 m and rotates at 60 rev/min, calculate the total distance traveled by the fly during a 20 grum of radius 40 cm is initially rotating at 400 min cooking period. ught to stop after making 50 revolutions. What lar 1270

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 60PQ

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A disc without slipping rolls down a hill of vertical height 1000cm. If the
disc starts from rest at the top of the hill, what is its magnitude of velocity
angular speeds at the bottom. Neglect friction. (1.96 ms", 7.84 rad s)
12 Amotor car is traveling at a speed of 30 ms'. If its wheet has a diameter of
1.5m, find its angular speed in rad s' and revs'. (40 rad s', 6.36 rev s)
190
Unit
NUMERICAL QUESTIONS
min cooking period.
What
(2.79 rad/s',
15.0g
a
is the angular acceleration and the stopping time?
(T=0.4N)
speed of 2ms'. Find the tension in the string.
(a = 0.00271
ms
in 27.3 days. W hat is the centripetal acceleration?
(65.17 rads
the angular acceleration is uniform find the number of revolutions
(300 rev)
made before stopping.
What is the moment of inertia of a 100 kg sphere whose radius is 50 cm2
(10kgm)
A rope is wrapped several times around a cylinder of radius 0.2 m and mas
30 kg. What is the angular acceleration of the cylinder if the tension in the
rope is 40 N and it turns without friction?
(13.3 rads)
What is the kinetic energy of a 5.0 kg solid ball whose diameter is 15 mifit
rolls across a level surface with a speed of 2m s?
(14J)
OA cylinder of 50cm diameter at the top of an incline 29.4cm high an
10m long is released and rolls down the incline. Find its linear an
angular speeds at the bottom. Neglect friction. (1.96 ms', 7.84 rad s
at the bottom?
(11.4ms)
1.5m, find its angular speed in rad s' and revs'.

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