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Why will the horizontal and vertical components of a vector be equal in magnitude if the angle is 45 degrees?
Get some graph paper, draw two axes and bisect them with a 45 degree sloping line.
Next pick any point on that 45 degree sloping line and from that point draw a line parallel to the horizontal axis so that it intersects the vertical axis.
Do the same thing from the point drawing a line parallel with the vertical axis so that it intersects the horizontal axis.
These two lines represent represent the components of your vector and if you measure them they will be of equal length and thus of equal magnitude.
For ANY angle of slope (other than 45 degrees) the two vectors will not be of equal length.
What else can I help you with?
What is the difference between vertical and horizontal lines?
vertical lines run from top to bottom, horizontal lines run from left to right the difference between the two is 90 degrees if you place vertical lines next to horizontal lines.
What is the vertical angle of 43?
An angle of 43 degrees cannot be a vertical angle. A vertical angle, by definition, is 90 degrees
What is the resultant of a 30 unit and 60 unit vector inclined to each other at 60 degrees?
Suppose the 30 unit vector is acting horizontally. Then the 60 unit vector has a horizontal component of 60*cos(60) units and a vertical component of 60*sin(60) units. So total horizontal = 30 + 60*cos(60) = 60 units total vertical = 60*sin(60)= 51.96 units. Then magnitude of resultant = sqrt(602 + 51.962) = sqrt(6300) = 79.37 units (approx). And direction = tan-1(51.96/60) = 40.89 degrees (from the 30 unit vector).
How many sets of perpendicular lines are in a right triangle?
There is only one set of perpendicular lines in a right triangle; the horizontal line and the vertical line that make it 90 degrees.
What angle has same horizontal displacement as 25 degrees?
65
Will a vector at 45 degrees to he horizontal be larger or smaller than its horizontal and vertical components?
The magnitude of the vector at 45 degrees to the horizontal will be equal to the magnitude of its horizontal and vertical components. This is because the components are obtained by using trigonometric functions of the angle, and in this case, at 45 degrees, those functions yield the same value for both the horizontal and vertical components as the magnitude of the vector.
How can a force be resolved in to rectangular components?
You would use trigonometry for that. If, for example, you have a force of magnitude 10 at an angle of 30 degrees: * The x-component is 10 times the cosine of 30 degrees * The y-component is 10 times the sine of 30 degrees Or better yet, learn to use the polar-->rectangular conversion on your scientific calculator.
Where A Particle Is Projected Along A Linear Plane. The Horizontal Component Of The Velocity Is Twice The Vertical Component What Is The Initial Magnitude Of The Velocity And The Angle At Which It Is?
The initial magnitude of the velocity is sqrt(5) times the horizontal component. This results in a velocity vector that is inclined at an angle of arctan(2) ≈ 63.43 degrees with respect to the horizontal.
Why does 45 degrees give maximum range?
When an object is launched at a 45-degree angle, it splits the initial velocity into horizontal and vertical components equally. This allows for the maximum range because the horizontal component remains constant throughout the flight, while the vertical component decreases due to gravity. This balance between horizontal and vertical components at 45 degrees results in the maximum distance traveled before hitting the ground.
If a force of 14 pounds is directed at an angle measuring 38 degrees from the horizontal of a right angle what will the horizontal and vertical components be?
Horizontal component = 14 cos(38) = 11.032 lbs (rounded)Vertical component = 14 sin(38) = 8.619 lbs (rounded)
What is the beam width of prv 11 radar in horizontal and vertical plane?
Horizontal beam width = 4.0 degrees Vertical beam width = 1.6 degrees
What is the relationship between the horizontal and vertical components of velocity for a projectile launched at an angle between 0 and deg and 90 and deg?
The horizontal and vertical components of velocity for a projectile launched at an angle between 0 and 90 degrees are independent of each other. The horizontal velocity remains constant throughout the motion, while the vertical velocity changes due to the effect of gravity. The initial velocity of the projectile is divided into these two components based on the launch angle.
In projectile motion What Angle would horizontal and vertical distance be equal?
Can't say. It depends on the release velocity (muzzle velocity).The maximum horizontal distance always results from an angle of 45 degrees, regardless of the release velocity.
Is earth axis tilted curved vertical vertical or horizontal?
Earth's axis is tilted to about 11 degrees from the vertical.
When projectile has maximum horizontal range?
A projectile has maximum horizontal range when it is launched at an angle of 45 degrees to the horizontal. This angle allows for the ideal balance between the horizontal and vertical components of the projectile's velocity, ensuring that it travels the farthest distance before hitting the ground.
How does angle of projection affect the maximum height?
The angle of projection affects the maximum height by determining the vertical and horizontal components of the initial velocity. At 90 degrees (vertical), all the initial velocity is vertical which results in maximum height. As the angle decreases from 90 degrees, the vertical component decreases, leading to a lower maximum height.
How can you find the resultant of force when the direction separated 45 degree?
To find the resultant of forces when the directions are separated by 45 degrees, you can use vector addition. Resolve each force into its horizontal and vertical components, then add them up to find the resultant force in both magnitude and direction using trigonometry.
