R MasteringPhysics: Assignment 21 Google Chrome https://session.masteringphysics

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R MasteringPhysics: Assignment 21 Google Chrome https://session.masteringphysics.com/myct/itemView?assignmentProblemID D*61664346 Phys 2109-2110 Assignment 21 Item 7 Item 7 Part A Each propeller on a King Air twin-engine airplane consists of three blades, each of mass What is the propellers rotational inertia? 16 kg and length 135 cm. The blades may be treated approximately as uniform, thin Express your answer using two significant figures. kg Subm My Answers Give Up Part B If the plane's engine develops a torque of 2.60 kN.m, how long will it take to spin up the propeller from 1500 rpm to 1950 rpm Express your answer using two significant figures. Subm My Answers Give Up EE Search the web and Windows Signed in as Emily Wiedemann l Help l cose Resources previous l 7 of 7 I return to assignment Continue 11:40 PM 2016

Explanation / Answer

part A

rotational inertia is

I = 3 * (1/12) *m *l^2

I = 3 * 1/12 * 16 * 1.35

I = 5.4 kg-m^2

part B

Given torque T = I * alpha

2600 = 5.4 * alpha

alpha = 481.48 rad/s^2

omega1 = 1500 rpm = 157 rad/s

omega2 = 1950 rpm = 204.1 rad/s

we have the relation

t = (omega2 - omega1)/alpha

t = (204.1-157)/481.48

t = 0.1 s

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