question archive Resultant Vector of Typhoon YolandaVector x-component y-component425 km E SE Identify the velocity of Typhoon Yolanda as it enters and exit the Philippine Area of Responsibility
Resultant Vector of Typhoon YolandaVector x-component y-component425 km E SE Identify the velocity of Typhoon Yolanda as it enters and exit the Philippine Area of Responsibility
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Resultant Vector of Typhoon YolandaVector x-component y-component425 km E SE Identify the velocity of Typhoon Yolanda as it enters and exit the Philippine Area of Responsibility. Calculate the resultant velocity.
Velocity (m/s)
64 km/h W
241 km/h W
34 km/h W
250 km/h W
314 km/h W
78 km/h W
314 km/h W
298 km/h W
Summation of x = _____________
Summation of y = _____________
Thetha = ____________
Vx = ____________
Vy = ___________________
V = ___________
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The given velocities are:
v1 = 425 km/h SE
v2 = 64 km/h W
v3 = 241 km/h W
v4 = 34 km/h W
v5 = 250 km/h W
v6 = 314 km/h W
v7 = 78 km/h W
v8 = 314 km/h W
v9 = 298 km/h W
Here
V = v2 + v3 + ....+ v9
V = 64+241+34+250+314+78+314+298
V = 1593km/h
Vector component along X axis (East):
Vx = v1cos45° - V
Vx = 425cos45° - 1593
Vx = -1292.480 km/h
or
Vx = 1292.480 km/h (along West)
Vector component along Y axis (North):
Vy = -v1sin45°
Vy = -425sin45°
Vy = -300.520 km/h
or
Vy = 300.520 km/h (along the South)
theta = tan-1(Vy/Vx)
theta = tan-1(300.52/1292.48)
theta = 13.089° South of West (with -X axis)
or
theta = (180+ 13.089)° with X axis
theta = 193.089° with X axis
V = √{Vx2 + Vy2}
V = √{1292.482 + 300.522}
V = 1326.96 km/h
