the wind blows toward 40 degrees with a velocity of 50kph. what is the vertical component of the wind's velocity?
50cos40°
assuming 40° is a compass heading. If the angle is measured in the customary way from the x-axis, then you'd have
50sin40°
To determine the vertical component of the wind's velocity, we need to find the sine of the angle at which the wind blows.
The formula for calculating the vertical component of a vector is given by:
Vertical component = Velocity x sin(angle)
In this case, the angle is 40 degrees and the velocity is 50 kph.
So, the vertical component of the wind's velocity can be calculated as:
Vertical component = 50 kph x sin(40 degrees)
Calculating this, we have:
Vertical component = 50 kph x sin(40 degrees)
Vertical component ≈ 50 kph x 0.6428
Vertical component ≈ 32.14 kph
Therefore, the vertical component of the wind's velocity is approximately 32.14 kph.
To find the vertical component of the wind's velocity, we need to determine the part of the wind's velocity that is directed vertically.
The wind's velocity can be regarded as having two components: the horizontal component and the vertical component. The horizontal component represents the part of the velocity that is directed parallel to the ground, while the vertical component represents the part directed perpendicular to the ground.
In this scenario, we are given the wind's velocity of 50 kph and the direction it blows, which is 40 degrees. The 40 degrees indicates the angle between the wind's direction and the horizontal axis.
To find the vertical component, we can use trigonometry. We'll use the sine function, which relates the angle of a right triangle to the ratio of the length of the side opposite to the angle and the length of the hypotenuse.
The formula to calculate the vertical component is:
Vertical component = Wind's velocity * sin(angle)
Substituting the given values:
Vertical component = 50 kph * sin(40 degrees)
Now, we need to calculate the value of sin(40 degrees). Using a calculator or a trigonometric table, we find that sin(40 degrees) is approximately 0.6428.
Finally, we can calculate the vertical component:
Vertical component ≈ 50 kph * 0.6428
Vertical component ≈ 32.14 kph
Therefore, the vertical component of the wind's velocity is approximately 32.14 kph.