Question

A ramp L ft long has an incline of θ. The work W needed to move an object weighing P ib up the ramp is given by W=PL (sin θ). To the nearest unit, find the work needed to move a trunk when P=92 Ib, L=16ft, and θ=12 degrees 15’.

Answer 1

From the information given, the work W needed to move an object weighing P ib up the ramp is given by W = PLsinθ

From the information given,

P = 92

L = 16

θ = 12 degrees 15’

We would convert 15' to degrees

Recall, 60 degrees = 1 minute

Thus, 15 degrees = 15/60 = 0.25 degrees

Thus,

θ = 12 + 0.25 = 12.25 degrees

We would substitute these values into the formula. We have

W = 92 x 16 x sin12.25

W = 312.33