1. Express the following quantities in SI units: (a) 10.2 in./min, (b) 4.81 slugs, (c) 3.02lb, (d) 73.1 ft/s², (e) 0.0234 lb-s/ft².

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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PROBLEM SET 1
1. Express the following quantities in SI units: (a) 10.2 in./min, (b) 4.81 slugs, (c) 3.02lb, (d) 73.1
ft/s², (e) 0.0234 lb-s/ft².
2. Verify the dimensions, in both the FLT and MLT systems, of the following quantities which
appear in Table 1.2. (a) angular velocity, (b) energy, (c) moment of inertia (area), (d) power,
and (e) pressure.
3. A container weighs 3.22 lb force when empty. Filled with water at 60°F the mass of the
container and its contents is 1.95 slugs. Find the weight of the water in the container and its
volume in cubic feet. Assume density of water = 62.4 lb force/ft³.
4. The kinematic viscosity of oxygen at 20°C and a pressure of 150 kPa (abs) is 0.104 stokes.
Determine the dynamic viscosity of oxygen at this temperature and pressure.
Ans. 2.05 x 105 N-s/m²
5. According to information found in an old hydraulics book, the energy loss per unit weight of
fluid flowing through a nozzle connected to a hose can be estimated by the formula
h = (0.04 to 0.09) (D/d)^ (V²/2g)
where h is the energy loss per unit weight, D the hose diameter, d the nozzle tip diameter, V
the fluid velocity in the hose, and g the acceleration of gravity. Check if this equation is valid
in any system of units.
Transcribed Image Text:PROBLEM SET 1 1. Express the following quantities in SI units: (a) 10.2 in./min, (b) 4.81 slugs, (c) 3.02lb, (d) 73.1 ft/s², (e) 0.0234 lb-s/ft². 2. Verify the dimensions, in both the FLT and MLT systems, of the following quantities which appear in Table 1.2. (a) angular velocity, (b) energy, (c) moment of inertia (area), (d) power, and (e) pressure. 3. A container weighs 3.22 lb force when empty. Filled with water at 60°F the mass of the container and its contents is 1.95 slugs. Find the weight of the water in the container and its volume in cubic feet. Assume density of water = 62.4 lb force/ft³. 4. The kinematic viscosity of oxygen at 20°C and a pressure of 150 kPa (abs) is 0.104 stokes. Determine the dynamic viscosity of oxygen at this temperature and pressure. Ans. 2.05 x 105 N-s/m² 5. According to information found in an old hydraulics book, the energy loss per unit weight of fluid flowing through a nozzle connected to a hose can be estimated by the formula h = (0.04 to 0.09) (D/d)^ (V²/2g) where h is the energy loss per unit weight, D the hose diameter, d the nozzle tip diameter, V the fluid velocity in the hose, and g the acceleration of gravity. Check if this equation is valid in any system of units.
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