Question

In: Physics

QUESTION 1 A disk (radius 13.5 cm] rotates about a fixed axis through its center of...

QUESTION 1

  1. A disk (radius 13.5 cm] rotates about a fixed axis through its center of mass and perpendicular to the disk. At t = 0 the disk is rotating at frequency 6.64 Hz, and it accelerates uniformly to frequency 27.6 Hz after spinning through 60.4 revolutions. Find the angular acceleration of the disk, in rad/s2.   

QUESTION 2

  1. The wheel of a cart has radius 64.6 cm. How many revolutions will it make if the cart goes 6.45 km?

Solutions

Expert Solution

Multiple questions posted, so answeing only the first question:

1. angular velocity is given by:=2f, where is angular velocity, f is frequency.

Initial frequency=6.64 Hz

So,initial angular velocity i= 2*6.64=41.72 rad/s.

Final frequency=27.6 Hz

So,final angular velocity f= 2*27.6=173.42 rad/s.

Angular displacement =60.4 revolutions=60.4*2=379.5 radians.

Now,in uniform acceleration, f2=i2+2, where f is final angular velocity,i is initial angular velocity, is angular acceleration, is angular displacement.

So,173.422=41.722+2*379.5

=>2*379.5=173.422-41.722=28333.938

=>=28333.938/(2*379.5)=37.33 rad/s2


Related Solutions

A disk (radius 95.8 cm] rotates about a fixed axis through its center of mass and...
A disk (radius 95.8 cm] rotates about a fixed axis through its center of mass and perpendicular to the disk. At t = 0 the disk is rotating at frequency 6.47 Hz, and it accelerates uniformly to frequency 73.8 Hz after spinning through 38.4 revolutions. Find the angular acceleration of the disk, in rad/s2. The wheel of a cart has radius 53.9 cm. How many revolutions will it make if the cart goes 2.79 km? An electric fan is turned...
A disk rotates about an axis through its center. Point A is located on its rim...
A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly one fourth of the way from the center toward the rim. What is the ratio of the angular velocity ?A to that of ?B, and the tangential velocity vA to that of vB? the angular velocity ?A to that of ?B the tangential velocity vA to that of vB
A circular disk rotates about its axis with angular velocity w. The disk is made of...
A circular disk rotates about its axis with angular velocity w. The disk is made of metal with conductivity g and thickness t.The rotating disk os pa;lced the pole faces of a magnet which produces a uniform magnetic field B over a small square area of size a2 at the average distance r from the axis where B is perpendicular to the disk, Show that the approximate torque on the disk is B2a2r2wgt/2.
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center,...
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center, as shown in the figure below. The linear speed of a passenger on the rim is constant and equal to 6.30m/s. A) What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion? Express your answer in meters per second squared to three significant figures. B) What is the direction of the passenger's acceleration as she...
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (the figure (Figure 1)).
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (the figure (Figure 1)). The linear speed of a passenger on the rim is constant and equal to 7.49 m/s1-What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion?2-What is the direction of the passenger's acceleration as she passes through the lowest point in her circular motion?3-What is the magnitude of the passenger's acceleration as...
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 4.00...
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 4.00 s, it rotates 13.2 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 4.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 4.00 s?
2. A thin disk of radius R and uniform surface charge density sigma rotates about its...
2. A thin disk of radius R and uniform surface charge density sigma rotates about its axis of symmetry with angular velocity omega = omega zhat. (a) What is the current density K(s) where s is the distance from the center? (b) Find B at the center of the disk (z=0, s=0) using Bio-Savart's law. (It's a simple integral). (c) What is the magnetic dipole moment of the disk?
A thin uniform disk of radius r and mass m is spinning about its center at...
A thin uniform disk of radius r and mass m is spinning about its center at angular speed ω0. The disk is placed flat on a horizontal surface. The coefficient of kinetic friction between the disk and the surface is μ and constant for the entire area of contact. a) Find the frictional torque on the disk. (Hint: Divide the disk into many concentric rings.) b) How long will it take the disk to come to rest?
A 240 g , 25-cm-diameter plastic disk is spun on an axle through its center by...
A 240 g , 25-cm-diameter plastic disk is spun on an axle through its center by an electric motor. What torque must the motor supply to take the disk from 0 to 2000 rpm in 4.3 s ? Express your answer in newton-meters. t=
A 200 g , 22-cm-diameter plastic disk is spun on an axle through its center by...
A 200 g , 22-cm-diameter plastic disk is spun on an axle through its center by an electric motor. What torque must the motor supply to take the disk from 0 to 1500 rpm in 4.7 s ?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT