A differential accumulator has fixed ram diameter 150 mm and outer bush diameter 165 mm. The stroke is 1.5 m. The accumulator is supplied with water at a pressure of 12 MPa. Find the load on the ram and capacity of the accumulator.
Given: d=150 mm =0.15 m ; D=165 mm =0.165 m ; L=1.5 m ; p=12 MPa =12 \times 10^6 N / m ^2
Load on the ram = p × Annular area
\begin{aligned}&=\frac{p \times \pi\left(D^2-d^2\right)}{4}=\frac{12 \times 10^6 \times \pi\left(0.165^2-0.15^2\right)}{4}\\&=44520 N=44.52 kN\end{aligned}
Capacity of the ram = Load × Stroke length
\begin{aligned}&=44.52 \times 10^3 \times 1.5=66798 Nm \\&=\frac{66198}{1000 \times 60 \times 600}=0.0185 kWh .\end{aligned}