Enunciado

A piston PDP has a 5-in diameter and a 2-in stroke and

operates at 750 r/min with 92 percent volumetric efficiency.

(a) What is its delivery, in gal/min? (b) If the pump delivers

SAE 10W oil at 208C against a head of 50 ft, what horsepower is required when the overall effi ciency is 84 percent?

Passo 1

Saaaalve, tranquilo? Vamos lá resolver mais uma questão juntos?! 😊

Os dados são os seguintes:

Diâmetro do pistão: d = 5 Acesso: L = 2 emVelocidade: N = 750 r / m i n Eficiência volumétrica: η v o l = 92 %

Passo 2

O volume deslocado é dado por

v = π 4 d 2 L   = π 4 ( 5 ) 2 ( 2 )   = 39.269 i n 3

Passo 3

Portanto, a taxa de fluxo de volume em g p m / m i n

Q = 117.3 g a l m i n

A entrega em gal/min é Q = 117.3 g a l m i n

Passo 4

b) Se a bomba fornece óleo SAE 10W / m i n contra uma cabeça de 50 f t então 20 C para o óleo SAE 10W a 20 C, tome ρ = 870   k g / m 3 ≈ 1.688 s l u g / f t 3

A potência da bomba é dada por

P = ρ g Q H η   = 1.688 × 32.2 × 117.3 449 f t 3   s × 50 0.84   = 845.2 f t ⋅ l b f s   = 845.2 550 h p   = 1.536 h p

A potência do cavalo é necessária P = 1.536 h p

Resposta

a) Q = 117.3 g a l m i n

b) P = 1.536 h p

Exercícios de Livros Relacionados

A simple cross-flow turbine, Fig. P11.93, was constructedand tested at the University of Rhode Island. The bladeswere made of PVC pipe cut lengthwise into three 1208-arcpieces. When it was tested in w
Consider the two pumps of Problems P11.28 and P11.35.Ifthe diameters are not changed, which is better for delivering water at 3000 gal/min and a head of 400 ft? What isthe appropriate rotation speed f
A 3.5 hp pump delivers 1140 lbf of ethylene glycol at 208Cin 12 seconds, against a head of 17 ft. Calculate the efficiency of the pump.
A Bell and Gossett pump at best effi ciency, running at1750 r/min and a brake horsepower of 32.4, delivers1050 gal/min against a head of 105 ft. (a) What is itsefficiency? (b) What type of pump is thi
The Tupperware hydroelectric plant on the BlackstoneRiver has four 36-in-diameter turbines, each providing447kW at 200 r/min and 205 ft3/s for a head of 30 ft. Whattype of turbine are these? How does