Production and Industrial Engineering
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PI 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 49
Open questionPINAT2 marksNeeds review
In an air-standard Otto cycle, the pressure and temperature of air just before the compression stroke are 200 kPa and 26.85 °C, respectively. The combustion process is assumed to be a constant volume process, where 1.02 MJ/kg heat is added. The cycle efficiency is 50%. The adiabatic index
and specific heat at constant volume
can be considered to be constant during the process (corresponding values taken at the mean cycle temperature).Assuming that the ideal gas law is applicable,
and
kJ/kg-K, the maximum pressure (in MPa) reached during the cycle is __________. (Rounded off to 1 decimal place)Log in to check the answer
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Open questionPINAT2 marksNeeds review
A metallic cylindrical pressure vessel, used to store compressed air in a plant, has 1 m mean radius and 4 mm wall thickness. The maximum allowable normal and shear stresses in the cylindrical portion of the vessel are 100 MPa and 40 MPa, respectively. Considering only these data in the design, the maximum allowable internal gauge pressure (in MPa) of the compressed air is __________. (Rounded off to 2 decimal places)
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Open questionPINAT2 marksNeeds review
A flat belt drive with pulley of
cm radius is designed to transmit 6.283 kW power at 600 RPM. In the figure,
is the corresponding torque. If the coefficient of static friction between the belt and the pulley is 0.3, then the minimum value of the tightening force
(in kN) required to prevent the belt slip is ________. (Rounded off to 2 decimal places) 
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