Question

The photograph below shows a girl pushing on a large stone sphere. The sphere has a mass of 8200 kg and a radius of 90 cm and floats with nearly zero friction on a thin layer of pressurized water.

Part A Suppose that she pushes on the sphere tangent to its surface with a steady force of F = 55 N and that the pressured water provides a frictionless support. How long will it take her to rotate the sphere one time, starting from rest?

Answer 1

Then solid sphere is moment of inertia (I) ,

I = 2/5 mr^2

Solution givendata; F= 55w=SSN m=82ookg r=gorm=0.90m then solid sphere is moment of inerties (I) IPR me! then forave (2} = Id Fre= ( ² me?) a 30, = kimise so) a- 275 S? X= 5(55N) . - = 0.0186314 Stad 7(8200)(0.90) 14760 use kinematic equation in angular mation is 1 0 = Woft £xf² Here wozo, t=20 Soy 0 - 0+£*f? = 20 = J2C277 Lead) = 25.9640285 0.0186314 Angwer is t = 2651 fuse I hope help you!!