Engineering Answers

A standard short tube 100mm in diameter, in the side of a cylindrical tank 2m in diameter, and having its axis vertical, discharges under a constant head. The rate of inflow by which the head kept constant is suddenly changed from 0.025m^3/s to 0.035m^3/s. How long will it take be, after this change occurs, until the head becomes 1.50m?

A mean draft 380000 m³/day is produced from a drainage area of 330 km². At the flow line, the reservoir is estimated to convert about 1,600 hectares. The annual rainfall is 96.5 cm, the mean annual runoff is 22.8 cm and the annual lake evaporation is 77.1 cm. Find the net gain or loss and storage and compute the volume of water evaporated. Calculate volume in m³

4. A mean draft of 100mgd is produced from a drainage area of 200mi². At the flow line the reservoir is estimated to cover about 4,000 acres. The annual rainfall is 37in., The mean annual runoff is 10in, and the mean annual lake evaporation is 30in. Find the net gain or lost a storage. Compute the volume of water evaporated. Hoe significant is this amount.

Compute the rainfall for gauge x in problem 1. If the storm readings at A, B and C were 3,7,4,1,and 4.8in, respectively

Two blocks of mass 50 kg and 40 kg are connected by a light inextensible string as shown in Fig. Find, from first principles, the acceleration of the system and tensions in the cable. Take Friction coefficient = 0.3

The velocity of a slider is defined by the relation v = v'sin(wnt + p). Denoting the velocity and the position of the slider at t = 0 by vo and xo, respectively, and knowing that the maximum displacement of the slider is 2x0, show that (a) v' = (v² + xw²)/2xw,, (b) the maximum value of the velocity occurs when x = x₁ [3 - (vo/xown)² ]/2.

Three rolling cylinders are connected with a pure rolling contact with a speed ratio of 3 in cylinder 1 and 2, if the center distance of cylinder 1 & 2 and cylinder 2 & 3 are 16 inches & 18 inches Respectively. Calculate the diameter and rpm of each cylinder. If the velocity is 20m/s.

An aluminium bar is 200 mm long and has a diameter of 7 mm. It fits centrally

inside a brass tube of the same length. The outside diameter of the tube is 10

mm and the wall thickness is 1 mm. The bar and tube are connected to rigid

end plates, so that they twist together. Find the torsional stiffness for each

shaft. If a torque of 12 N.m is applied to the composite shaft, calculate the (a)

torque transmitted by each; (b) maximum shear stress induced in each; and

(c) angle of twist (GBRAss = 40 GPa and GALUMINIUM = 30 GPa).

A solid and a hollow shaft, connected by a coupling, transmit power. The

outside diameters of the shafts are the same and the inside diameter of the

hollow shaft is 75 % of its outside diameter. The solid shaft is three times as

long as the hollow shaft. Take the modulus of rigidity for both shafts as 80

GPa.

(a) If the angle of twist for the solid shaft is 1°, find the angle of twist for the

hollow shaft.

(b) If the maximum shear stress in the solid shaft is 30 MPa, find the maxi-

mum stress in the hollow shaft.

A card is drawn from a well shuffled pack of cards what is the probability that it is either spade or an acc A)3/13

(B) 5/13 (C) 4 / 13 D)2/13