The A-36 hollow steel shaft is 2 m Jong and has an outer diameter of 40 mm. When it is rotating at 80 rad/s, it transmits 32 kW of power from the engine E to the generator G. Determine the smallest thickness of the shaft if the allowable shear stress is r allow = 140 MPa and the shaft is restricted not to twist more than 0.05 rad.

MODULE 4 ARTICLE I. INFERENCE FOR POPULATION MEANS 1) Confidence Intervals a. We can find confidence intervals of two differencesample means 2) Known Population Variances a. Let X and Y be to independent binomial random variables. b. A 100(1-α)% CI for the difference of the two meansfrom each random variable is: 3) Unknown population variance a. t-value is used 4) Large sample confidence intervals for two population proportions a. Let X and Y be to independent binomial random variables. b. Proportion p is the number of successes/n ̃ c. Let n =nx+2x d. Let p =(x+1)/ n x e. The CI is the