Suppose a child swings around her straight arm about her shoulder joint at an angular velocity of 13 rad/s. If her arm is 40. 0 cm long, what is the speed of her hand?.

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04-11-2022
Physics

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Suppose a child swings around her straight arm about her shoulder joint at an angular velocity of 13 rad/s. If her arm is 40. 0 cm long, what is the speed of her hand?.

Sagot :

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febyyyvaalentina febyyyvaalentina · Answer 1 · 2022-11-20T09:26:03-05:00

When the child swings her hand around her arm, it moves at a speed of 5.2 m/s.

Angular velocity is the rate of change of a spinning body's angular location. Linear velocity, on the other hand, is referred to as the rate at which displacement changes with respect to time when an object moves along a straight line. The formula below can express the relationship between both velocities.

[tex]V=R[/tex]ω

where [tex]V[/tex] is linear velocity in m/s, [tex]R[/tex] is radius of the circular motion in meters, and ω is angular velocity in rad/s.

In this case, the value of angular velocity and radius have already been given.

ω = 13 rad/s

[tex]R[/tex] = 0,4 m

Next, we could calculate the value of linear velocity by using the mentioned formula.

[tex]V=R[/tex]ω

[tex]V =[/tex] 0,4 m x 13 rad/s

[tex]V =[/tex] 5.2 m/s

To know more about angular velocity and linear velocity, go to:

brainly.com/question/13649539

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Suppose a child swings around her straight arm about her shoulder joint at an angular velocity of 13 rad/s. If her arm is 40. 0 cm long, what is the speed of her hand?.

Sagot :

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