4·· 0/3 points Link to on-line chapter section: Section 5-5: Uniform Circular Mo

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4·· 0/3 points Link to on-line chapter section: Section 5-5: Uniform Circular Motion Link to on-line chapter section: Section 5-6: Solving Problems Involving Uniform Circular Motion l Previous Answers My Notes Ask Your Tea Fr COS(0) Fr sin(6) In mg Similar to the situation shown in (a) above, a toy plane is being whirled at constant speed in a horizontal circle. The plane is attached to a string of length L. (b) shows the relevant free-body diagram; (c) shows the coordinate system; and (d) shows the free-body diagram with the force of tension split into components. (a) Use g 10 m/s2, we also know that the tension in the string is 1.80 N, the angle between the string and the vertical is 28.0 degrees, and the time it takes the plane to complete one circle is 3.00 s. (a) Determine the mass of the plane. 158.9 (b) Determine the radius of the plane's circular path. (c) Determine the constant speed of the plane mys Submit Answer Save Progress

Explanation / Answer

a)

for vertical equilibrium of plane

T cos 28 = mg

m = Tcos28 / g

m = 0.159kg

b)

Tsin 28 = mw^2 R

R = Tsin28 /m w^2

w = 2x pi / 3

so

R = 1.211 m

c)

speed

v = Rw

v = 2.537 m/s

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