A pole support by a steel wire is in the way of construction site. In order to move heavy to machine, the steel wire must be moved 4m closer to the pole. If the pole height is 30m and the cable is currently fastened to the ground 12m from the pole, how much steel wire need to cut off from the cable when they move it?
Answers
Answer:
1.26m
Explanation:
Length at which the steel wire must be moved = 4m (Given)
Height of the pole = h = 30m (Given)
Height of the cable from ground = 12m (Given)
Thus,
Initial length of the wire -
= lo = √30² + 12 ²
= √900+144
= √1044
= 32.31
Final length of the wire -
l = √30² + ( 12-4)²
= √900 + 64
= √964
= 31.04
Δl = 32.31 - 31.04
= 1.26m
Therefore, steel wire of 1.26m needs to be cut off from the cable when it is moved.
Answer:
Length at which the steel wire must be moved = 4m (Given)
Height of the pole = h = 30m (Given)
Height of the cable from ground = 12m (Given)
Thus,
Initial length of the wire -
= lo = √30² + 12 ²
= √900+144
= √1044
= 32.31
Final length of the wire -
l = √30² + ( 12-4)²
= √900 + 64
= √964
= 31.04
Δl = 32.31 - 31.04
= 1.26m
Therefore, steel wire of 1.26m needs to be cut off from the cable when it is moved.
Explanation: