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Activity Proper: Activity No. 1-Rotational Equilibrium and Rotational Dynamics: Problem Solving Rotational Quantities. Directions: Solve the following problems involving rotational quantities to review your knowledge in differentiation. 1. A fruit blender manufactured by a certain company is being tested. The angular position of the blender is: rad 2+2 rad Suppose that t, =1s and t, = 3 s. a. Find the angular position of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular position at t, = 1s is: Page 2 of 4 O(t = 1) = (s)(1 9 + (12(1 9 + (0.5 )(1 9 + 2 rad = 8.7 radians (1s)* - Show your solution and answer for the angular position of the particle when tz = 3 s. b. Find the angular velocity of the blender at both times. (t, = 1 s is done for you.) Example with solution: Differentiating the given expression for the angular position, we get: rady w() = (20 + (36 )* +(1) rady The angular velocity at t, = 1s is: w(t = 1) = (20 )(1 9 + (36 ( 39 + (1 ) (1 1) = 24.6 5 rad Show your solution and answer for the angular velocity of the particle when t=3 s. c. Find the angular acceleration of the blender at both times. (t, =1 s is done for you.) Example with solution: The angular acceleration is the derivative of the angular velocity with respect to time. Hence, The angular acceleration at t, = 1s is: a(t = 1) = (60 )( 9 +(7219 + (1 - 62 rady rad %3D Show your solution and answer for the angular acceleration of the particle whentz = 3 s.

Activity Proper: Activity No. 1-Rotational Equilibrium and Rotational Dynamics: Problem Solving Rotational Quantities. Directions: Solve the following problems involving rotational quantities to review your knowledge in differentiation. 1. A fruit blender manufactured by a certain company is being tested. The angular position of the blender is: rad 2+2 rad Suppose that t, =1s and t, = 3 s. a. Find the angular position of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular position at t, = 1s is: Page 2 of 4 O(t = 1) = (s)(1 9 + (12(1 9 + (0.5 )(1 9 + 2 rad = 8.7 radians (1s)* - Show your solution and answer for the angular position of the particle when tz = 3 s. b. Find the angular velocity of the blender at both times. (t, = 1 s is done for you.) Example with solution: Differentiating the given expression for the angular position, we get: rady w() = (20 + (36 )* +(1) rady The angular velocity at t, = 1s is: w(t = 1) = (20 )(1 9 + (36 ( 39 + (1 ) (1 1) = 24.6 5 rad Show your solution and answer for the angular velocity of the particle when t=3 s. c. Find the angular acceleration of the blender at both times. (t, =1 s is done for you.) Example with solution: The angular acceleration is the derivative of the angular velocity with respect to time. Hence, The angular acceleration at t, = 1s is: a(t = 1) = (60 )( 9 +(7219 + (1 - 62 rady rad %3D Show your solution and answer for the angular acceleration of the particle whentz = 3 s.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Activity Proper: Activity No. 1 – Rotational Equilibrium and Rotational Dynamics: Problem Solving Rotational Quantities. Directions: Solve the following problems involving rotational quantities to review your knowledge in differentiation. 1. A fruit blender manufactured by a certain company is being tested. The angular position of the blender is: 0() = (s ) e* + (12 ) + (0.5 ) + 2 rad t3+ Suppose that t, =1s and t, = 3 s. a. Find the angular position of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular position at tį = 1 s is: Page 2 of 4 )(19)" + ( 띄)(19)" + (05 )(19)2 +2rad-8.7 radians O(t = 1) 1.2 Show your solution and answer for the angular position of the particle when t, = 3 s. b. Find the angular velocity of the blender at both times. (t, = 1 s is done for you.) Example with solution: Differentiating the given expression for the angular position, we get: rad w(t) = (20 ) + (3.6 ) 2 + (1 )e The angular velocity at t, = 1 s is: rady o(t%=D1) = (20 뜨) (15)' + (36) (1s)" + (1) (15) = 24.6 rady rady rad Show your solution and answer for the angular velocity of the particle when t = 3 s. c. Find the angular acceleration of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular acceleration is the derivative of the angular velocity with respect to time. Hence, at) = (60 ) + (2) +(1) 12+ %3D The angular acceleration at t, =1s is: alt =1)= (60 ) (19) + (72 ) a1)+ (1) 뿐 rad rad = 68.2 Show your solution and answer for the angular acceleration of the particle when tz = 3 s. Rotational Kinematics (use rotational kinematic equations)
Transcribed Image Text:Activity Proper: Activity No. 1 – Rotational Equilibrium and Rotational Dynamics: Problem Solving Rotational Quantities. Directions: Solve the following problems involving rotational quantities to review your knowledge in differentiation. 1. A fruit blender manufactured by a certain company is being tested. The angular position of the blender is: 0() = (s ) e* + (12 ) + (0.5 ) + 2 rad t3+ Suppose that t, =1s and t, = 3 s. a. Find the angular position of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular position at tį = 1 s is: Page 2 of 4 )(19)" + ( 띄)(19)" + (05 )(19)2 +2rad-8.7 radians O(t = 1) 1.2 Show your solution and answer for the angular position of the particle when t, = 3 s. b. Find the angular velocity of the blender at both times. (t, = 1 s is done for you.) Example with solution: Differentiating the given expression for the angular position, we get: rad w(t) = (20 ) + (3.6 ) 2 + (1 )e The angular velocity at t, = 1 s is: rady o(t%=D1) = (20 뜨) (15)' + (36) (1s)" + (1) (15) = 24.6 rady rady rad Show your solution and answer for the angular velocity of the particle when t = 3 s. c. Find the angular acceleration of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular acceleration is the derivative of the angular velocity with respect to time. Hence, at) = (60 ) + (2) +(1) 12+ %3D The angular acceleration at t, =1s is: alt =1)= (60 ) (19) + (72 ) a1)+ (1) 뿐 rad rad = 68.2 Show your solution and answer for the angular acceleration of the particle when tz = 3 s. Rotational Kinematics (use rotational kinematic equations)
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