The ball float shown in the illustration has...

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Question 1 of 205eccef9dbacbc34ba4d45e17

The ball float shown in the illustration has a circumference of 18.85" and is used in water with a specific gravity of 1.0. If 16 pounds of force is available at "X", and the effective length of the float arm is 24 inches, what is the length of "L"? See illustration GS-0158.

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🔍 Key Concepts

• Use the circumference to find the ball diameter before going to the chart. • From the chart, find the available operating force from float ball for that diameter at specific gravity 1.0. • Relate torque at the float arm to torque at point X using ( T = F \times , , \text{arm length} ).

💭 Think About

• How do you convert the given circumference of 18.85" into a diameter, and which diameter curve on the chart does that correspond to? • Once you have the operating force from the float ball, what torque does it produce about the shaft with a 24" effective arm length? • If the torque produced by the ball must be balanced by the torque from the 16 lb at X, what arm length L will give the same torque on the other side of the shaft?

✅ Before You Answer

• Be sure you use ( D = \tfrac{C}{\pi} ) to get the correct diameter for choosing the curve on the chart. • Read the force value from the chart at the intersection of your diameter curve and specific gravity 1.0 on the vertical axis. • Set torque from ball equal to torque at X: ( F_{\text{ball}} \times 24 = 16 \times L ), then solve for L and compare to the choices.

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