An elevator weighing 16917 N is supported by a steel cable. What is the tension in the cable when the elevator is being accelerated upwards at a rate of 2.5m/s^2? (g=9.80m/s^2)

Oct 5, 2017

$T = 21232.56 N$

Explanation:

there is a net force upwards since it is being accelerated upwards

#so

${F}_{\text{net}} = m a$

if $T = \text{tension in the cable}$

the net force is $T - 16917$

the mass will be $\frac{16917}{9.8}$

$\therefore T - 16917 = \frac{16917}{9.8} \times 2.5$

$\therefore T - 16917 = 4315.56$

$T = 4315.56 + 16917$

$T = 21232.56 N$