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Asked by Sharmistha Last Modified
Answer 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:
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.
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