Question

A vertical double-acting steam engine develops 75 kW at 250 r.p.m. The maximum fluctuation of energy is 30 percent of the work done per stroke. The maximum and minimum speeds are not to vary more than 1 percent on either side of the mean speed. What is the approximate mass of the flywheel required? If the radius of gyration is 0.6 m.

• A. 347 kg
• B. 447 kg
• C. 547 kg
• D. 647 kg

Hint:

For flywheel design, use the relationship between energy fluctuation and the moment of inertia to determine the required mass.

Answer 1

The Correct Option is B

Step 1: Calculate the flywheel mass using the appropriate formula.
The flywheel mass depends on energy fluctuation and moment of inertia. We determine the mass using the energy fluctuation equation.Step 2: Input the provided data.
With an engine power of 75 kW and a radius of gyration of 0.6 m, we compute the necessary flywheel mass utilizing the energy fluctuation formula. Final Answer: \[ \boxed{447 \, \text{kg}} \]