Answer to Question #247085 in Physics for Ahmed

Question

Typhoon Seroja is estimated to be 100.0 km SE of Jakarta as of 4 AM today. At 5 Am, it will be moving 50.0 km W before moving 60.0 km 40OW of N. At 10 AM, it will be heading 40.0 km 30O N of W and at 5 pm, it will be moving 20.0 km N. Find the % error using the measured value (magnitude of VR

obtained from head-to-tail method) as x and the computed value (magnitude of VR obtained from component method) as the true or theoretical value (x1).

Answer 1

From the diagram (head-to-tail method), the magnitude is 50 km:

The computed value is 54.7 km at 16.2° North of West.

Compute the difference:

$$\epsilon=\bigg(1-\frac{V_{Rd}}{V_R}\bigg)·100\%=9\%.$$