How Is Torque Calculated on a Diving Board?

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SUMMARY

The torque exerted by a 60 kg person on a diving board about the front support post (B) is calculated using the formula τ = Fr, where F is the force due to gravity. The correct distance from the support post is 3.0 m, leading to a torque of approximately 1800 N·m. The initial confusion arose from using an incorrect distance of 4.0 m, which pertains to a different point of reference (A). The calculation confirms that the torque about point B is indeed 1800 N·m in the counterclockwise direction.

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  • Understanding of torque and its calculation using τ = Fr
  • Knowledge of force due to gravity (9.8 m/s²)
  • Familiarity with concepts of moments and pivot points
  • Basic algebra for manipulating equations
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Homework Statement



Calculate the torque (magnitude and direction) about the front support post (B) of a diving board , exerted by a 60 kg person 3.0 m from that post. See picture.

Homework Equations



τ = Fr

The Attempt at a Solution



τ clockwise = τ counterclockwise

(60 kg)(9.8 m/s^2)(4.0 m) = τ counterclockwise

I used "A" as the origin. Did I approach this incorrectly?
 
Last edited:
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They asked you to compute the torque around point B.

Also, you just need to compute the torque due to the person
 
Oh I see. By using 4.0 m I considered the torque around point A.

(60 kg)(9.8 m/s^2)(3.0 m) ≈ 1800 N * m
 
Seems okay
 

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