(a) Explanation Given information: The unit of mass flow rate ( m ) is m ( kg / h ) . The unit of height ( b ) is meter ( m ) . The unit of horizontal distance ( l ) is meter ( m ) . The unit of acceleration due to gravity ( g ) is m / s 2 . Calculation: Calculate the work done ( Δ U ) using the formula: Δ U = m g h Substitute m ( kg / h ) for m , b ( m ) for h and g ( m / s 2 ) for g . Δ U = [ m ( kg / h ) ] × [ g ( m / s 2 ) ] × [ b ( m ) ] = m g b ( N ⋅ m / h ) Calculate the average power ( P ) using the formula: P = Δ U Δ t Substitute m g b ( N ⋅ m / h ) for Δ U and 3600 s / h for Δ t (b) To determine Derive the formula in the SI unit for the power ( P ) in the unit of ( hp ) in terms of material flow rate ( w ), height ( b ) and horizontal distance ( l ).

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Chapter 13.1, Problem 13.50P

(a)

To determine

Derive the formula in the SI unit for the power (P) in the unit of (kW) in terms of mass flow rate (m), height (b) and horizontal distance (l).

(b)

To determine

Derive the formula in the SI unit for the power (P) in the unit of (hp) in terms of material flow rate (w), height (b) and horizontal distance (l).

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Chapter 13.1, Problem 13.49P

Chapter 13.1, Problem 13.51P

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Derive the formula in the SI unit for the power ( P ) in the unit of ( kW ) in terms of mass flow rate ( m ), height ( b ) and horizontal distance ( l ).

Solution Summary: The author calculates the formula in the SI unit for the power ( P ) in terms of mass flow rate, height, and horizontal distance.