A 0.075-kg toy airplane is tied to the ceiling with a string. When the airplane\

Question

A 0.075-kg toy airplane is tied to the ceiling with a string. When the airplane's motor is started, it moves with a constant speed of 1.23 m/s in a horizontal circle of radius 0.39 m, as illustrated in the figure. Find the angle the string makes with the vertical Your response differs from the correct answer by more than 10%. Double check your calculations. degree Find the tension in the string. s within 10% of the correct value. This may be due to round off error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N

Explanation / Answer

Tcos(a)=mg; (force equiblirium in Y direction)

Tsin(a)=mv^2/r; (force equiblirium in radial direction)

so, on dividing the equations

tan(x) =V^2/rg =1.23^2/0.39*9.8

x=tan^-1(0.3954)

x=21.58 degrees (answers of part1)

now using equation 1

T=mg/cos(x) =0.075*9.81/cos21.58

T=0.791 N

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