Chapter 4, Problem 75GP

To determine

The take-off speed of the aircraft.

Answer to Problem 75GP

The take-off speed of the aircraft is $82.26\text{m}/\text{s}$ .

Explanation of Solution

Given info:

The angle of the string with vertical is, $\theta =25°$ .

The time of take-off for aircraft is, $t=18\text{s}$ .

Formula Used:

The expression to calculate the take-off speed of the aircraft is,

  $v=gt\tan \theta$

Calculation:

Substitute all the values in the above expression.

  $\begin{array}{c}v=\left(9.8\text{m}/{\text{s}}^2\right)\left(18\text{s}\right)\left(\tan 25°\right)\\ =82.26\text{m}/\text{s}\end{array}$

Conclusion:

Thus, the take-off speed of the aircraft is $82.26\text{m}/\text{s}$ .