TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a
ID: 1583550 • Letter: T
Question
TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a 66.0 kg physicist placed himself and 400 kg of equipment at the top of one 610 m high antenna to perform gravity experiments. By how much (in mm) was the antenna compressed, if we consider it to be equivalent to a steel cylinder 0.130 m in radius? TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a 66.0 kg physicist placed himself and 400 kg of equipment at the top of one 610 m high antenna to perform gravity experiments. By how much (in mm) was the antenna compressed, if we consider it to be equivalent to a steel cylinder 0.130 m in radius?Explanation / Answer
Young's E = stress / strain = F/A / L/L = FL / AL, so
L = FL / EA
E= young's modulus of steel = 2.10x10^11 N/m2
where F = mg = (66+ 400)kg * 9.8m/s² = 4566.8 N
and A = r² = (0.13m)² = 0.05306 m²
so, L =4566.8×610/(2.10×10^11×0.0531)
L = 2.5×10^-4
L = 0.25 mm...Ans
Hope it will help you.
please rate the ans.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.