A toy airplane of mass 0.115 k g is tied to the ceiling with a string. The airpl

Question

A toy airplane of mass 0.115kg is tied to the ceiling with a string. The airplane moves in a horizontal circle of radius 1.5m , with a constant speed of 2.26m/s .

M2a forces pro 4

A toy airplane of mass 0.115kg is tied to the ceiling with a string. The airplane moves in a horizontal circle of radius 1.5m , with a constant speed of 2.26m/s .

Part A What is the centripetal acceleration of the toy plane?   ar = 3.41   m/s2   SubmitMy AnswersGive Up Correct Part B What is the tension in the string? T = N SubmitHintsMy AnswersGive UpReview Part Try Again; 19 attempts remaining Part C What is the angle the string makeswith the vertical?   ? = degrees SubmitMy AnswersGive Up Provide FeedbackContinue What is the centripetal acceleration of the toy plane?

Explanation / Answer

a = v^2/r = 2.26^2/1.5= 3.41

sum forces in the x
T sin theta = ma

sum forces in the vertical

T cos theta - mg = 0

divide equations

tan theta = a/g

theta = arctan(3.41/9.81)=19.17 degrees

T = mg/cos theta = 0.115*9.81/cos(19.17 degrees)=1.19 N

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