A pellet gun is fired at a solid disk that is free to rotate about a fixed horizontal axis, as shown in Figure 8-63. The disk is 21 cm in diameter and has a mass of 370 g. The pellet (m = 30.0 g) gets lodged in the disk and causes it to spin at a rate of 11 rad/s. Find the speed of the pellet just before it hits the wheel. TR1210 = 29°pelletRFigure 8-63 Problem 62.Deduce from the given R/2 andthe radius of the circle R that theangle is 30° in the right angledtriangle as shown.1.R10 = 29° [ |2 30°RpelletRThe position vector i goes fromthe origin to the point where thepellet hits the disk. Its magnitudeis R and its direction is known.The angle between the positionvector i and the momentumvector p can now be determined:180° – 29° – 30° = 121°.121°10 = 29°30°pelletROnce the angle between vector ?and vector p is determined, youcan find out the angularmomentum for the pellet:L = rp sin 0 where 0 is the anglebetween i and p.3.121°p = mü121°2.

Answered: Image /qna-images/answer/a2e7b831-4f37-4062-9310-6aa6a8aaeb3d.jpg

A pellet gun is fired at a solid disk that is free to rotate about a fixed horizontal axis, as shown in Figure 8-63. The disk is 21 cm in diameter and has a mass of 370 g. The pellet (m = 30.0 g) gets lodged in the disk and causes it to spin at a rate of 11 rad/s. Find the speed of the pellet just before it hits the wheel.

A pellet gun is fired at a solid disk that is free to rotate about a fixed horizontal axis, as shown in Figure 8-63. The disk is 21 cm in diameter and has a mass of 370 g. The pellet (m = 30.0 g) gets lodged in the disk and causes it to spin at a rate of 11 rad/s. Find the speed of the pellet just before it hits the wheel.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 13OQ: Let us name three perpendicular directions as right, up, and toward you as you might name them when...

See similar textbooks

Similar questions

A particle travels at a uniform linear speed around a circle of radius r = 0.5 m, completing one revolution in 12 s. a. What is the value of the linear speed v? b. Find the particles angular speed. c. What are the angle and arc length s swept out by the particle in 4 s?
A particle is traveling counterclockwise in a circle of radius r = 3.00 m.At some instant in time, the particle is located by the angular coordinate ? = 32.0°,the total acceleration has a magnitude of a = 15.0 m/s2 and is directed at an angle β = 20.0° with respect to the radial coordinate. Determine the following at this instant. (Express your answer in vector form.)
If a= (5, -12), what are the magnitude and direction of a? What is the size of the angle between the vectors a= (2, 5, -1) and b = (-3, 2, 6)?
From information on the endsheets of this book, compute, for a point located on the surface of the Earth atthe equator, the radial acceleration due to the rotationof the Earth about its axis.
Two vectors and are given by A=5i+6j+7k and B= 3i-8j+2k. If these two vectors are drawn starting at the same point, what is the angle between them?
Given vector r=(-3,4) in rectangular coordinates, find its magnitude and direction (r,θ)
The earth’s radius is about 4000 miles. Kampala, the capital of Uganda, and Singapore are both nearly on the equator. The distance between them is 5000 miles.a. Through what angle do you turn, relative to the earth, if you fly from Kampala to Singapore? Give your answer in both radians and degrees.b. The flight from Kampala to Singapore takes 9 hours. What is the plane’s angular speed relative to the earth?
What is the angle between the two vectors i + 2j - 3k and 3i + 2j + k? Round your answer to the nearest degree
A car speeds up uniformly while rounding a turn of radius 13 meters. The car's angular speed increases from 0.52 radians per second to 0.98 radians per second as it turns through 1.30 radians. a. At the instant the angular speed is 0.76 radians per second, what is the car's centripetal acceleration? Include units in your answer. b. At the instant the angular speed is 0.76 radians per second, what is the car's tangential acceleration? Include units in your answer
If the rigid body rotates 30deg about the global X-axis and the origin of the body translates to (X, Y, Z)=(500, 0 600), the final point in the Global frame is (500 -100, 773.2). Find the origin position (x1, y1, z1) in the body coordinate frame by using the inverse 4X4 matrix.
What direction does the vector L point in for a plane rotating?
Calculate the magnitude and the direction angle (in radians) for the vector <3,3sqrt3>.