Q1. (a) Ports A and B are 36 nautical miles apart. A tanker leaves port A at 1130 hours travelling towards port B at a steady 16 knots. It stops for 2 hours 30 minutes for loading and returns at a steady speed of 12 knots. A second vessel leaves port B at 1610 hours and reaches port A 40 minutes before the tanker.
Determine EACH of the following:
(i) the time the tanker arrives back at port A; (4)
(ii) the speed of the second vessel. (4)
(b) The amount of energy stored in flywheels of similar shapes is directly proportional to the squares of their speeds and to the fifth power of their diameters. One flywheel has a diameter 1.72 times that of a smaller one and it runs at 85% of the speed of the smaller. The smaller flywheel stores 9.2 kJ of energy.
Calculate the amount of energy stored in the larger flywheel. (8)
Q6. In the diagram shown in Fig Q6, A and C represent the centres of two gear wheels.
An idler is to be placed at B.
Calculate the distances of x and y. (16)
Q9. The vertical height of a solid right circular cone is 50% greater than the diameter of its base. The total surface area of the cone is 500 cm2.
Calculate EACH of the following:
(a) the diameter of the base of the cone; (12)
(b) the volume of the cone. (4)
Username or email address *Required
Password *Required
Note: Entering wrong username in the login form will ban your IP address immediately. Entering wrong password multiple times will also ban your IP address temporarily.
Log in
Lost your password? Remember me
No account yet?
