The angular momentum formula is L = Iw, where the variable L represents the angular momentum, I is the moment of inertia, and w is the angular velocity. Angular momentum is a physics concept defined as the amount of rotation of an object in relation to its shape, speed and mass.Know More
Angular momentum is a vector quantity that takes into account the rotational orientation of a body about a given axis. When a system of objects or particles comes into play, the angular momentum of the entire system is the sum of the angular momenta of the individual elements.
In usual cases, angular momentum of an object may be determined by using its resistance to rotational velocity changes and its angular velocity. In this scenario, the formula L = Iw may be used to determine the body's angular momentum. This measure is also termed as the moment of momentum, or the rotational analog of linear momentum.
Another variant of the angular momentum equation is L = rp, where r is the vector distance of the body from a reference axis of origin, and p is the linear momentum. This formula may be used if the given measurements are related to linear momentum, and it involves a cross product of the two vectors.Learn more about Trigonometry
To solve a power-reduction formula, express it in a simplified way without exponents. For example, solve "sine to the 4th power times x" by squaring "sine squared times x." From there, further simplify by multiplying "1 minus the cosine of 2x divided by 2."Full Answer >
The phase shift formula for a trigonometric function, such as y = Asin(Bx - C) + D or y = Acos(Bx - C) + D, is represented as C / B. If C / B is positive, the curve moves right, and if it is negative, the curve moves left.Full Answer >
The derivative of an inverse tangent is denoted by the formula: y = tan^-1 x. Given that the function has a restricted domain of pi, its derivative is: d / dx (tan^-1 x) = 1 / (1 + x^2). This is the basic derivative of an inverse tangent, meaning that the value of x can be substituted for any angle within its domain to get an actual figure.Full Answer >
The derivative of a cross product is found through the cross product formula Dt(r(t)×q(t))=r?(x)×q(x)+r(x)×q?(x), where r and q are the cross product values. The derivative is found by plugging in the known cross product values into the formula and solving for x.Full Answer >