. Natural philosophy. including statics, hydrostatics, pneumatics, dynamics, hydrodynamics, the general theory of undulations, the science of sound, the mechanical theory of music, etc. : designed for the use of normal and grammar schools, and the higher classes in common schools . the arms of the weight, 7, 5, 3, and 1 ft., the weightis TOO lbs. Required the power. Ans. 12y. In a compound lerer the arms of the weight are 11, 13, and9 ft., the arms of the power are, 4, 7, and 2 ft., the weightis 5G0 lbs. What is the power? Ans. 12870 lbs. THE WHEEL AXD AXLE. 82. The wheel and axle consists of
. Natural philosophy. including statics, hydrostatics, pneumatics, dynamics, hydrodynamics, the general theory of undulations, the science of sound, the mechanical theory of music, etc. : designed for the use of normal and grammar schools, and the higher classes in common schools . the arms of the weight, 7, 5, 3, and 1 ft., the weightis TOO lbs. Required the power. Ans. 12y. In a compound lerer the arms of the weight are 11, 13, and9 ft., the arms of the power are, 4, 7, and 2 ft., the weightis 5G0 lbs. What is the power? Ans. 12870 lbs. THE WHEEL AXD AXLE. 82. The wheel and axle consists of a wheel with acylindrical axle passing through itscentre, perpendicular to the planeof the wheel. The power is appliedto the circumference of the wheel,and the weight to the circumfer-ence of the axle. 83. The wheel and axle is merelya modification of the lever withunequal arms; the radius of thewheel corresponding to the arm ofthe power, and the radius of theaxle to the arm of the weight. 84. The wheel and axle is sometimes called the con-tiiiual or jyerjjetaal lever, because the power acts continu-ally on the weight. 85. TJie jyoiccr and weiglit in the icheel and axle are inequilihrium when the power is to the weight as the radiusof the axle is to the radius of the 86, For the wheel and axle—let P = the power, Wweight, V = radius of the axle, R =: radius of the wheel. the Hence P =- Then P R W :: r : R. r PxRW audi? = Trx r Example 27.—In a wheel and axle the radius of the axle is 7inches, the radius of the wheel is 35 inches. What power willbalance a weight of 643 lbs ? Art. 86.] THE WHEEL AXD AXLE. 27 SOLUTION. Here JF ?=. Gio lbs., 7? = 35 inches, and r =: 7 inches. rru n TT X r &i3 X 7 ^_^, ,ThenP=: ——? ?=.—^^— = 128p. Ans. Example 28.—In a wheel and axle the radius of the axle is 6inches, the radius of the Tvheel is 27 inches. What weight willbe balanced bv a power of 123 lbs. ? SOLCTIOX. Here P z = 123 lbs .,Ez — 27 in ., and r z= 6 in. Then W _
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Keywords: ., bookcentury1800, bookdecade1860, booksubjectphysics, bookyear1867
