is shown in Fig. P1.32. On its top, the 10-kg piston is attach to a spring and exposed to an atmospheric pressure of 1 Initially, the bottom of the piston is at x = 0, and the spr exerts a negligible force on the piston. The valve is opened a air enters the cylinder from the supply line, causing the ume of the air within the cylinder to increase by 3.9 x 10 The force exerted by the spring as the air expands within cylinder varies linearly with x according to Fupring = kx where k = 10,000 N/m. The piston face area is 7.8 × 10-³ Ignoring friction between the piston and the cylinder w determine the pressure of the air within the cylinder, in when the piston is in its initial position. Repeat when the pis is in its final position. The local acceleration of gravity 9.81 m/s².

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1.32 Air contained within a vertical piston-cylinder assembly
is shown in Fig. P1.32. On its top, the 10-kg piston is attached
to a spring and exposed to an atmospheric pressure of 1 bar.
Initially, the bottom of the piston is at x = 0, and the spring
exerts a negligible force on the piston. The valve is opened and
air enters the cylinder from the supply line, causing the vol-
ume of the air within the cylinder to increase by 3.9 × 10-4 m².
The force exerted by the spring as the air expands within the
cylinder varies linearly with x according to
Fupring = kx
where k = 10,000 N/m. The piston face area is 7.8 x 10³ m².
Ignoring friction between the piston and the cylinder wall,
determine the pressure of the air within the cylinder, in bar,
when the piston is in its initial position. Repeat when the piston
is in its final position. The local acceleration of gravity is
9.81 m/s².
Transcribed Image Text:1.32 Air contained within a vertical piston-cylinder assembly is shown in Fig. P1.32. On its top, the 10-kg piston is attached to a spring and exposed to an atmospheric pressure of 1 bar. Initially, the bottom of the piston is at x = 0, and the spring exerts a negligible force on the piston. The valve is opened and air enters the cylinder from the supply line, causing the vol- ume of the air within the cylinder to increase by 3.9 × 10-4 m². The force exerted by the spring as the air expands within the cylinder varies linearly with x according to Fupring = kx where k = 10,000 N/m. The piston face area is 7.8 x 10³ m². Ignoring friction between the piston and the cylinder wall, determine the pressure of the air within the cylinder, in bar, when the piston is in its initial position. Repeat when the piston is in its final position. The local acceleration of gravity is 9.81 m/s².
x=0)-
Air
Figure P1.32
-Pam
Valve
Air
supply
line
Transcribed Image Text:x=0)- Air Figure P1.32 -Pam Valve Air supply line
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