(a) Explanation Given information: The initial angular velocity ( ω 1 ) of flywheel is 300 rpm. The angular velocity ( ω 2 ) of flywheel after one punch is 0.9 ω 1 . The work done ( U 1 → 2 ) of the flywheel is 1800 rpm. Calculation: Find the initial angular velocity ( ω 1 ) of flywheel in rad/s. ω 1 = 300 rev min × 1 min 60 s × 2 π rad 1 rev = 10 π Find the angular velocity ( ω 2 ) of flywheel after one punch in rad/s. ω 1 = 0.9 ω 1 Substitute 10 π for ω 1 . ω 1 = 0.9 ( 10 π ) = 9 π Find the kinetic energy ( T 1 ) of the flywheel at initial position using the equation: T 1 = 1 2 I ¯ ω 1 2 Substitute 10 π for ω 1 . T 1 = 1 2 I ¯ ( 10 π ) 2 = 50 I ¯ π 2 Find the kinetic energy ( T 2 ) of the flywheel at final position using the equation: T 2 = 1 2 I ¯ ω 2 2 Substitute 9 π for ω 2 (b) To determine The number of revolution between each punching.

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 17.1, Problem 17.5P

(a)

To determine

The required moment of inertia of the flywheel.

(b)

To determine

The number of revolution between each punching.

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Chapter 17.1, Problem 17.4P

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Chapter 17 Solutions

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.2CQ Ch. 17.1 - Prob. 17.3CQ Ch. 17.1 - Prob. 17.4CQ Ch. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Prob. 17.3P Ch. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - Prob. 17.5P

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