N1 Engineering Science|The Easy Way! 47


6. A wheel and axle has a mechanical advantage of 2,61 when raising a certain load with amass of 150 kg. If the diameter of the axle is 200mmand the velocity ratio of themachine is 3, calculate; 6.1 the diameter of the wheel, and 6.2 the effort required to lift this load.


7. The wheel of a wheel and axle liftingmachine has a diameter of 200mmand the axle has a diameter of 40 mm. If themachine has amechanical advantage of 4,5 when lifting amass of 15 kg, calculate for these conditions; 7.1 the effort required, and 7.2 the velocity ratio.


8. A wheel and axle has diameters of 300mmand 75mmrespectively. The mechanical advantage is found to be 3,2 when a load of 300 N is lifted. Calculate for these conditions; 8.1 the velocity ratio, and 8.2 the effort required.


(0,6 m; 563,2 N)


(32,67 N; 5)


(4; 93,75 N)


9. An effort of 200 N is required to lift a load with amass of 55 kg whenmaking use of a wheel and axle liſting machine. Te diameters of the wheel and axle are 300 mm and 75mmrespectively. Calculate; 9.1 the mechanical advantage of the machine when liſting this load, and 9.2 the velocity ratio of themachine.


10. The diameters of a wheel and axle liftingmachine are 450mmand 150mm respectively. If the machine has a mechanical advantage of 2,46 when raising a gearbox with a mass of 75 kg, calculate the effort required.


(2,695; 4) (298,8 N)


11. A wheel and axle is used to raise a casting with amass of 60 kg. The diameters of the wheel and axle are 600mmand 150mmrespectively. An effort of 155 N is required to raise the casting. Calculate; 11.1 the mechanical advantage at this load, and 11.2 the velocity ratio.


12. The effort required to lift an engine with amass of 190 kg bymeans of a wheel and axle, is 500 N. If the wheel has a diameter of 73 cm and the velocity ratio is 4,27, determine for this load; 12.1 the diameter of the axle, and 12.2 themechanical advantage.


13. The diameters of a wheel and axle are 450mmand 60mmrespectively. Te mechanical advantage of this machine is 5 when it is used to raise a container of sand with amass of 40 kg. Calculate; 13.1 the velocity ratio, and 13.2 the effort required to raise this load.


(3,794; 4)


(171 mm; 3,724)


(7,5; 78,4 N)


Page 1  |  Page 2  |  Page 3  |  Page 4  |  Page 5  |  Page 6  |  Page 7  |  Page 8  |  Page 9  |  Page 10  |  Page 11  |  Page 12  |  Page 13  |  Page 14  |  Page 15  |  Page 16  |  Page 17  |  Page 18  |  Page 19  |  Page 20  |  Page 21  |  Page 22  |  Page 23  |  Page 24  |  Page 25  |  Page 26  |  Page 27  |  Page 28  |  Page 29  |  Page 30  |  Page 31  |  Page 32  |  Page 33  |  Page 34  |  Page 35  |  Page 36  |  Page 37  |  Page 38  |  Page 39  |  Page 40  |  Page 41  |  Page 42  |  Page 43  |  Page 44  |  Page 45  |  Page 46  |  Page 47  |  Page 48  |  Page 49  |  Page 50  |  Page 51  |  Page 52  |  Page 53  |  Page 54  |  Page 55  |  Page 56  |  Page 57  |  Page 58  |  Page 59  |  Page 60  |  Page 61  |  Page 62  |  Page 63  |  Page 64  |  Page 65  |  Page 66  |  Page 67  |  Page 68  |  Page 69  |  Page 70  |  Page 71  |  Page 72  |  Page 73  |  Page 74  |  Page 75  |  Page 76  |  Page 77  |  Page 78  |  Page 79  |  Page 80  |  Page 81  |  Page 82  |  Page 83  |  Page 84  |  Page 85  |  Page 86  |  Page 87  |  Page 88  |  Page 89  |  Page 90  |  Page 91  |  Page 92  |  Page 93  |  Page 94  |  Page 95  |  Page 96  |  Page 97  |  Page 98  |  Page 99  |  Page 100  |  Page 101  |  Page 102  |  Page 103  |  Page 104  |  Page 105  |  Page 106  |  Page 107  |  Page 108  |  Page 109  |  Page 110  |  Page 111  |  Page 112  |  Page 113  |  Page 114  |  Page 115  |  Page 116  |  Page 117  |  Page 118  |  Page 119  |  Page 120  |  Page 121  |  Page 122  |  Page 123  |  Page 124  |  Page 125  |  Page 126  |  Page 127  |  Page 128  |  Page 129  |  Page 130  |  Page 131  |  Page 132  |  Page 133  |  Page 134  |  Page 135  |  Page 136  |  Page 137  |  Page 138  |  Page 139  |  Page 140