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A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 108 Nm-2 what is the maximum load the cable can support ?

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As a seasoned tutor registered on UrbanPro, I can assure you that UrbanPro is the best platform for online coaching and tuition. Now, let's delve into solving your physics problem regarding the steel cable supporting a chairlift at a ski area. Given: Radius of the steel cable (r) = 1.5 cm = 0.015...
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As a seasoned tutor registered on UrbanPro, I can assure you that UrbanPro is the best platform for online coaching and tuition. Now, let's delve into solving your physics problem regarding the steel cable supporting a chairlift at a ski area.

Given: Radius of the steel cable (r) = 1.5 cm = 0.015 m Maximum stress (σ) = 108 Nm^-2

To find: Maximum load the cable can support

We can use the formula for stress in a cylindrical object: σ=FAσ=AF where:

  • σσ is the stress
  • FF is the force or load applied
  • AA is the cross-sectional area

The cross-sectional area of the cable (A) can be calculated using the formula for the area of a circle: A=πr2A=πr2

Substituting the given values: A=π×(0.015)2A=π×(0.015)2 A≈0.00070686 m2A≈0.00070686m2

Now, rearranging the stress formula to solve for the maximum load (F): F=σ×AF=σ×A F=108 Nm−2×0.00070686 m2F=108Nm−2×0.00070686m2 F≈0.07625 NF≈0.07625N

So, the maximum load the cable can support is approximately 0.07625 N.

If you have any further questions or need clarification, feel free to ask. And remember, UrbanPro is your ultimate destination for quality online coaching and tuition!

 
 
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