During the last rotation, a hammer thrower maintains a constant acceleration of his hammer, from 28 m/s at the beginning of the rotation to 32 m/s at the time of release. a) If the radius of the hammer's rotations is 1.3 m, what is the total linear acceleration when the hammer has covered 3/4 of the last rotation? Steps: 1) Find the tangential acceleration of the hammer: m/s2 2) Find the tangential velocity after 3/4 of the final rotation: m/s. (Note, this is NOT just 3/4 of the way from 28 to 32 , because you travel further in a given time at higher speed.) 3) Find the radial acceleration of the hammer after 3/4 of the final rotation: m/s2. 4) Find the total acceleration after 3/4 of the final rotation: m/s2. b) How far will the throw go, if the initial launch angle is 41 degrees above the horizontal, 1.9 m above the ground.   Steps: 1) Find the time-of-flight: s 2) Find the horizontal velocity: m/s 3) Find the horizontal distance: m.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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During the last rotation, a hammer thrower maintains a constant acceleration of his hammer, from 28 m/s at the beginning of the rotation to 32 m/s at the time of release. a) If the radius of the hammer's rotations is 1.3 m, what is the total linear acceleration when the hammer has covered 3/4 of the last rotation?

Steps:

1) Find the tangential acceleration of the hammer: m/s2

2) Find the tangential velocity after 3/4 of the final rotation: m/s. (Note, this is NOT just 3/4 of the way from 28 to 32 , because you travel further in a given time at higher speed.)

3) Find the radial acceleration of the hammer after 3/4 of the final rotation: m/s2.

4) Find the total acceleration after 3/4 of the final rotation: m/s2.

b) How far will the throw go, if the initial launch angle is 41 degrees above the horizontal, 1.9 m above the ground.

 

Steps:

1) Find the time-of-flight: s

2) Find the horizontal velocity: m/s

3) Find the horizontal distance: m.

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