(10%) Problern 7: TV broadcast antennas are the tallest artificial structures on
ID: 1656892 • Letter: #
Question
(10%) Problern 7: TV broadcast antennas are the tallest artificial structures on Earth. In 1987, a 73.5 kg physicist placed himself and 400 kg of equipment at the top of one 610-m high antenna to perform gravity experiments. Randomized Variables m=73.5kg By how much was the antenna compressed in mm, if we consider it to be equivalent to a steel cylinder 0.150 m in radius? The Young's modulus of steel is 2.10 x 1011 N/m2 Grade Summa Deductions Potential 0% 100% cos0 atan acotan sinhO Degrees O Radians tan() | acosO Sin Submissions emaining: 5 Attempts r (5% per attempt) detailed view cotanasin0 cotanhO END Submit Hint I give up! Hints: 5% deduction per hint. Hints remaining: 3 Feedback: 5% deduction per feedback.Explanation / Answer
(A) F = m g = (73.5 + 400) (9.8)
F = 4640.3 N
A = pi (0.150^2) = 0.0707 m^2
stress = Y (strain)
F / A = Y (deltaL / L )
4640.3 / (0.0707) = (2.10 x 10^11) (deltaL / 610)
deltaL = 0.19 x 10^-3 m or 0.19 mm .....Ans
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