A plumb bob does not hang exactly along a line directed to thecenter of the Eart

Question

A plumb bob does not hang exactly along a line directed to thecenter of the Earth's rotation. How much does the plumb bobdeviate from a radial line at 35.0o northlatitude? Assume the earth is spherical. I need help with visualizing this problem. I cannotpicture exactly what this looks like, therefore I am havingtroubles solving the problem. A plumb bob does not hang exactly along a line directed to thecenter of the Earth's rotation. How much does the plumb bobdeviate from a radial line at 35.0o northlatitude? Assume the earth is spherical. I need help with visualizing this problem. I cannotpicture exactly what this looks like, therefore I am havingtroubles solving the problem.

Explanation / Answer

The time period of rotation of the earth is T = 86400s We know Re = 6.37*106m Then, ar = Re2cos(35 degrees)     =(42Re/T2)*cos(35degrees)     =[42(6.37*106m)/(86400s)2]*cos(35 degrees)     = 0.0276m/s2 Now take the y-axis along the vertical and then we have anety = go-ary =9.8m/s2 - (0.276m/s2)*cos(35 degrees) =9.78m/s2 anetx = 0.0158m/s2 and... Deviation =tan-1(anetx/anety) =tan-1 [(0.0158m/s2)/(9.78m/s2)] =0.0928 degrees PLEASE RATE

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.