A block and tackle system has 5 pulleys. If an effort of 1000 N is needed in the downward direction to raise a load of 4500 N, calculate:
A block and tackle system has 5 pulleys. If an effort of 1000 N is needed in the downward direction to raise a load of 4500 N, calculate:

(a)The mechanical advantage,

(b)The velocity ratio and,

(c)The efficiency of the system.

Solutions:

According to the question, a block and tackle system has 5 pulleys (n = 5)

Effort is 1000 N and Load is 4500 N

(a) Expression for the mechanical advantage is

M.A. = Load / Effort = 4500 / 1000

M.A. = 4.5

(b) Velocity ratio = the number of pulleys (n)

Therefore, V.R. = 5

(c) Expression for the efficiency of the system is

η = M.A. / V.R = 4.5 / 5

= 0.9 or 90%