NEED HELP WITH QUESTION C. The height of a tower is measured by attaching a simp

Question

NEED HELP WITH QUESTION C.

The height of a tower is measured by attaching a simple pendulum to its ceiling, whose length is barely enough to stay off the floor. The pendulum is let go from a small angle at a height of 0.1 m above the floor, and takes 12 s to return to the same location it started from. a.) How tall is the tower? m b.) How fast is the mass travelling at its lowest point? m/s c.) What angle did the pendulum string make with the vertical when it was released? degrees (Does this seem "small" to you?)

Explanation / Answer

v = 1.4 m/s, L = 35.8 m

from conservation of energy

KE = PE

0.5mv^2 = mgL(1-cos(theta))

0.5*1.4^2 = 9.8*35.8*(1-cos(theta))

theta = 4.3 degrees

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