Question

Determine the force, F in lbf, required to lift a five gallon bucket full of water from rest with an
acceleration of 3 m/s . Ignore the mass of the bucket.

Answer 1

Determine the force, F in lbf, required to lift a five gallon bucket full of water from rest with an acceleration of 3 m/s. Ignore the mass of the bucket.

Solution:

Let:

$$a = 3 \, \text{m}/\text{c}^2$$ $$V = 5 \, \text{galon}$$ $$F = mg + ma$$ $$m = \rho * V = 1 * 5 * 4.546 = 22.73 \, \text{Kg}; \, (1 \, \text{galon} = 4.546 \, \text{L})$$ $$F = 22.73 * 9.8 + 22.73 * 3 = 290.944 \, \text{N} = 65.41 \, \text{Lbf}; \, (1 \, \text{Lbf} = 4.448 \, \text{N})$$

Answer: 65.41 lbf.