pressure is calculated in solids by using these formulae which is proposed gopi force / area
function composition
Here is an outline of the solution: Find the velocity of a point on the rim by multiplying the radius times the angular velocity in radians per second (converted from 1 rev per 3 min.). The direction of the rim velocity is tangent to the rim. You have to find the vertical component of this velocity using trig. You find the necessary angle to do this by drawing a radial line to the point on the rim that is 24 m above ground level. There are several parts to this problem, so good luck.
Basically, a knowledge of even and odd functions can simplify certain calculations. One place where they frequently appear is when using trigonometric functions - for example, the sine function is odd, while the cosine function is even.
Using series like the Maclaurin series to approximate functions is important because it simplifies complex calculations, making it easier to analyze and predict the behavior of functions near a certain point (usually around zero). This is especially useful in calculus and numerical methods, where exact solutions might be difficult or impossible to obtain. Additionally, these approximations can help in understanding properties such as continuity, differentiability, and integrability of functions. Overall, they serve as powerful tools in both theoretical and applied mathematics.
"addition and subtraction"Resultant velocity refers to the sum of all vectors in an equation. The two math functions that are used to calculate the resultant velocity are addition and subtraction.
The answer depends on what information you start with. For example, if you are given acceleration then you might integrate whereas if you are given displacement, you might differentiate.
Resultant velocity is the overall velocity of an object when taking into account both its speed and direction. It is calculated by combining the individual velocities of the object using vector addition. The resultant velocity represents the net effect of all the individual velocities acting on the object.
The velocity of a plane traveling northwest at 610 mph can be calculated using vector addition. The velocity will have two components: one in the north direction and one in the west direction. These components can be calculated using trigonometry, with the magnitude of the resultant velocity being 610 mph.
The equation for resultant velocity is the vector sum of all individual velocities acting on an object. Mathematically, it can be represented as Vr = V1 + V2 + V3 + ..., where Vr is the resultant velocity and V1, V2, V3, etc. are the individual velocities. This equation takes into account both the magnitude and direction of each velocity component to determine the overall resultant velocity of the object.
by using trig. So draw a triangle out with the given information. for example 1 line is 12m/s, another line is Um/s (u for unknown) and one line is resultant velocity. add your angle in and use trig to work out what you want.
The angle of the resultant force can be calculated using trigonometry principles such as the Pythagorean theorem and inverse trigonometric functions. Given the magnitudes of the two component forces, you can determine the angle using the formula: angle = arctan(opposite/adjacent). This will help you find the direction in which the resultant force is acting.
The resultant velocity of the plane relative to the ground can be calculated using vector addition. Given the plane's speed due north (100 km/h) and the crosswind speed (100 km/h westward), use the Pythagorean theorem to find the resultant velocity. The resultant velocity will be 141 km/h at an angle of 45 degrees west of north.
The formula for resultant displacement can be calculated using the Pythagorean theorem. It is given by: Resultant displacement = √(horizontal displacement^2 + vertical displacement^2)
The resultant of displacement is the vector sum of two or more displacements. It represents the total displacement from the starting point to the final position, taking into account both direction and magnitude. It can be calculated using vector addition methods.
The velocity of an object can be calculated by multiplying the acceleration of the object by the time it has been accelerating for. This calculation is done using the formula: velocity acceleration x time.
The diagonal of the rectangle represents the resultant of the velocities when added using vector addition. The magnitude and direction of this diagonal give the magnitude and direction of the resultant velocity vector.