Wouldn't tension be 1/2 mg/Tension?
the 1/2 is used because each side of the wire carries 1/2 the weight.
An acrobat hangs by his hands from the mid-
dle of a tightly stretched horizontal wire so
that the angle between the wire and the hori-
zontal is 12.5◦.
If the acrobat’s mass is 88.8 kg, what is
the tension in the wire? The acceleration of
gravity is 9.8 m/s2.
Answer in units of N.
4 answers
sorry. 1/2 mg/Tension=tanTheta
tension= 1/2 mg/tanTheta
tension= 1/2 mg/tanTheta
I just did this problem for an assignment and used sin not tan. Otherwise I agree.
(.5 * mass * g) / sin(theta)