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Problems of Velocity, Angular Velocity and Acceleration in Trains and Wheels
Question 1:
A train accelerates uniformly along a straight track and passes three trackside markers. The distance between the first two markers is equal to 0.25 km and between the second and third the distance is 0.4km. The train takes 26.6 seconds to travel between the first two markers and its speed as it passes the second marker is equal to 57.6 km/h.
Sketch the linear velocity-time diagram and calculate the following:
(a) the uniform rate of acceleration(b) the time taken for the train to travel between the second and third markers(c) the average velocity of the train for the journey between the first and third markers
Question 2:
An engine flywheel initially rotating at 24 rev/min is accelerated uniformly for 3.8 seconds whilst rotating through 41 revolutions. It is then immediately retarded at a uniform rate of 3.6 rad/s^2. The velocity of the flywheel is then held constant and finally decelerated uniformly at a rate of 1.4 rad/s^2 to a halt, this final deceleration taking place of 37 revolutions. The total time taken during these changes is equal to 2.1 minutes.
Sketch the linear velocity-time diagram for the flywheel and calculate the following
(a) the initial acceleration(b) the maximum velocity reached(c) the constant speed value(d) the average angular velocity
Steam enters the turbine of a simple vapor power plant with a pressure of 160 bar and a temp of 560 C and expands adiabatically to 0.08 bar
A piston-cylinder device contains 0.8kg of steam at 300 degrees C and 1 MPa. Steam is cooled at constant pressure until one-half of the mass condenses.
Horsepower and efficiency of three-phase motor, If a fully loaded 440V, three-phase motor draws 12.4 A at 86% power factor (pf). It's speed is 1730 rpm and its torque output to a mechanical load is 29.1 lb-ft x 1.356 = 39.5 Nm.
The entrance is inward projecting. What flow will be expected if the gate valve is one-half open?
Determine the velocity of shearing along the shear plane and the velocity of sliding at the tool-chip interface and find the work done per minute in shearing the metal and against the friction.
Evaluate thermal efficiency of the cycle
Advanced Stress Analysis Assignment
Find the approximate location of the laminar turbulent transition - what is the net heat removed by the air around the rod?
Determining Feasibility, At steady state, a new power cycle is claimed by its inventor to develop 6 horsepower for a heat addition rate of 400 Btu/min
A fireclay brick cube, 10 cm in length is removed from a furnace where it was maintained at a temperature of 500 degrees C. The brick cube is then placed in ambient temperature conditions.
Your rich godfather has offered you a choice of one of the three following alternatives: $10,000 now; $2,000 a year for eight yeaers; or $24,000 at the end of eight years
You have a bevel gear and shaft and you have to find the maximum load that can be applied on it.
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