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.
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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