Question

A belt drive was designed to transmit the power of P=7.5 kW with the velocity v=10m/s. The tensile load of the tight side is twice of that of loose side, F1= 2F2. Please calculate the F1, Fe, and Fo.

Answer 1

F₁ = 1500 N

F₂ = 750 N

`F_(e)` = 500 N

Step-by-step explanation:

Given :

Power transmission, P = 7.5 kW

= 7.5 x 1000 W

= 7500 W

Belt velocity, V = 10 m/s

F₁ = 2 F₂

Now we know from power transmission equation

P = ( F₁ - F₂ ) x V

7500 = ( F₁ - F₂ ) x 10

750 = F₁ - F₂

750 = 2 F₂ - F₂ ( ∵F₁ = 2 F₂ )

∴F₂ = 750 N

Now F₁ = 2 F₂

F₁ = 2 x F₂

F₁ = 2 x 750

F₁ = 1500 N , this is the maximum force.

Therefore we know,

`F_(max)` = 3 x
`F_(e)`

where
`F_(e)` is centrifugal force

`F_(e)` =
`F_(max)` / 3

= 1500 / 3

= 500 N