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Pressure gauge indicate that the pressure at point 1 is 10kgPa greater than the pressure at point 2. The cross sectional area at point 2 is 1/5th the cross sectional area at point 1. Determine the speed of the air at point 2
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The temperature of 4.5 kg of water is raised from 15 °C to 100 °C at constant atmospheric pressure. Determine the heat transfer required
A power station has an output of 800 MW and the thermal efficiency is 28 per cent. Determine the coal consumed in tonne per hour if the calorific value of the coal is 31 MJ/kg
3. A car has a mass of 1600 kg. It has an engine which develops 35 kW when travelling at a speed of 70 km/h. Neglecting losses, determine the resistance to motion in N/kg.
Three particles are situated in 3-D space. The position of each particle is represented by the following vectors:
• A 5-kg particle at r1 = 4i + 3j + 5k
• A 3-kg particle at r2 = –3i + 5j + 3k
• A 6-kg particle at r3 = 5i – 6k
a. Find the location of the center of mass of these particles
If Z1 =5i-2j
Z2= 3i+3j
Z3=4i-j,
Show that Z1,Z2 and Z3 are associative, commutative and distributive.
a 1.2 x10^3 kg block starting from rest is accelerated by a 2.20x10^3 N force for a distance of 50.0 m along a horizontal surface
toy giraffe was thrown horizontally from the edge of the table at a velocity of 7.5 m/s. if the table is 1.25 m high. what is the toys velocity just before it hits the ground
Using simple ray theory, describe the mechanism for the transmission of light within
an optical fiber. Briefly discuss with the aid of a suitable diagram what is meant by
the acceptance angle for an optical fiber. Show how this is related to the fiber
numerical aperture and the refractive indices for the fiber core and cladding.
An optical fiber has a numerical aperture of 0.20 and a cladding refractive index of
1.59. Determine:
(a) the acceptance angle for the fiber in water which has a refractive index of 1.33;
(b) the critical angle at the core–cladding interface.
Comment on any assumptions made about the fiber.
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