Questions: Question # 6: Express 63.8 cu in./sec as cubic feet/hours. Conversion equations: (1 cu ft=1728 cu in. 1 hour =3600 sec)

Solution Steps

To convert 63.8 cubic inches per second to cubic feet per hour, we need to use the given conversion factors. First, convert cubic inches to cubic feet, and then convert seconds to hours.

1. Convert cubic inches to cubic feet using the conversion factor \(1 \text{ cu ft} = 1728 \text{ cu in}\).
2. Convert seconds to hours using the conversion factor \(1 \text{ hour} = 3600 \text{ sec}\).

To convert from cubic inches to cubic feet, we use the conversion factor: \[ 1 \text{ cu ft} = 1728 \text{ cu in} \] Thus, we have: \[ \text{Cubic feet per second} = 63.8 \text{ cu in/sec} \times \frac{1 \text{ cu ft}}{1728 \text{ cu in}} = 0.0369 \text{ cu ft/sec} \]

Next, we convert the flow rate from cubic feet per second to cubic feet per hour using the conversion factor: \[ 1 \text{ hour} = 3600 \text{ sec} \] Therefore: \[ \text{Cubic feet per hour} = 0.0369 \text{ cu ft/sec} \times 3600 \text{ sec/hour} = 132.917 \text{ cu ft/hour} \]

Final Answer