Extra Calculation Questions - Simple Machine

SIMPLE MACHINES
1.       In the certain machine, the load moves 4 m when effort moves 16 m. An effort of 40 N is used to raise load of 120 N. What is the efficiency of the machine?
2.       A force applied parallel to an inclined plane is used to raise a load of 500 N through a height of 3.0 m. The effort moved through a distance of 30 m along the plane.
i)        How much work is done on the load?
ii)       If the efficiency of the inclined plane is 80%, determine the effort applied.
iii)     How much work is done by the effort?
3.       A block and tackle pulley system has 3 pulleys in the fixed block and 2 in the lower movable block. What load can be lifted by an effort of 400 N if the efficiency of the system is 60%?
4.       A force of 600 N is used to move a load up an inclined plane. Given that the slant height and the vertical height of the plane are 18 m and 3 m respectively. Determine;
i)        The velocity ratio of the plane.
ii)       The mechanical advantage of the plane.
iii)     The efficiency of the plane.
5.       A crane lifts a load of 1000 Kg through a vertical distance of 150 cm. Determine the work done by the crane against gravity.
6.       (a)Explain what is lever and give the essential features of the lever.
(b) A lever system of velocity ratio 45 overcomes a load of 4500 N when an effort of 125 is applied. Find
i)        The mechanical advantage of the lever.
ii)       The efficiency of the lever.
7.       (a) Give four examples of simple machines.
(b) A pulley system has three wheels on the lower block and three on the upper block. The system is used to raise a load of 600 N.
i)        Draw a sketch diagram to show the arrangement of the pulley system.
ii)       Determine the velocity ratio (V.R) of the system.
iii)     If the efficiency of the system is 90% determine effort applied in raising the 600 N load.
8.       A wheel and axle of efficiency 80% is used to raise a load of 2000 N. If the radius of the wheel is 50 cm, and that of the axle is 2 cm, calculate
i)        The velocity ratio
ii)       Mechanical Advantage of machine
iii)     The effort required to overcome the load
9.       A screw jack with a pitch of 0.2 cm and a handle of length 50 cm is used to lift a car of weight 1.2 x 104 N. If the efficiency of the screw is 30%, find:
i)        The velocity ratio
ii)       Mechanical Advantage of the machine
iii)     The effort required to raise the car
10.   A loaded wheelbarrow of weight 800 N is pushed up an inclined plane by a force of 150 N parallel to the plane. If the plane rises by 50 cm for every 400 cm distance measured along the plane, find;
i)        The velocity ratio,
ii)       Mechanical advantage

iii)     Efficiency of the plane.

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