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How do you find the extension of a spring when only the load and length is given?
To find the extension of a spring when only the load (force) and its original length are given, you can use Hooke's Law, which states that the force exerted by a spring is proportional to its extension. The formula is ( F = k \cdot x ), where ( F ) is the load (force), ( k ) is the spring constant, and ( x ) is the extension. If the spring constant ( k ) is known, you can rearrange the equation to find the extension: ( x = \frac{F}{k} ). If ( k ) is not provided, it cannot be determined solely from the load and length.
What is the formula to find the spring constant?
F = - k x In this equation, x is the distance that the spring has been stretched or compressed away from its equilibrium position F is the restoring force exerted by the spring. k is the spring constant.
What is the relation between the spring constant and the frequency?
angular frequency = square root (K/m) wher k is spring constant and m = mass linear frequency = 1/2pi times square root (K/m)
What is si unit of spring constant k?
It is Newtons per metre.
What are some algebra terms that begin with the letter K?
k is often a constant. We don't know what the constant is, but we know we could find out.
How do you find the extension of a spring when only the load and length is given?
To find the extension of a spring when only the load (force) and its original length are given, you can use Hooke's Law, which states that the force exerted by a spring is proportional to its extension. The formula is ( F = k \cdot x ), where ( F ) is the load (force), ( k ) is the spring constant, and ( x ) is the extension. If the spring constant ( k ) is known, you can rearrange the equation to find the extension: ( x = \frac{F}{k} ). If ( k ) is not provided, it cannot be determined solely from the load and length.
How do you find spring constant in mousetrap car?
Measure the force (f) required to compress the spring a given amount (x) then use hooke's law to compute the spring constant (k) (f=kx)
How to find the spring constant from a graph of force versus displacement?
To find the spring constant from a graph of force versus displacement, you can calculate the slope of the line. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. The formula for the spring constant is k F/x, where k is the spring constant, F is the force applied, and x is the displacement. By determining the slope of the line on the graph, you can find the spring constant.
What is the formula to find the spring constant?
F = - k x In this equation, x is the distance that the spring has been stretched or compressed away from its equilibrium position F is the restoring force exerted by the spring. k is the spring constant.
What does the spring constant k mean?
The spring constant is a measure of stiffness - the ability to resist displacement under a load. It is denoted by K where F = kx where f = load force and x = displacement
A frequency of vibration of a mass-spring system is 5Hz when a 4g mass is attached to the spring .Calculate the forces constant of the spring?
To calculate the force constant of the spring (k), you can use the formula for the frequency of vibration of a mass-spring system: f = 1 / (2π) * √(k / m) where f is the frequency, k is the force constant of the spring, and m is the mass. Rearranging the formula gives: k = (4π^2 * m * f^2). Plugging in the given values: k = (4π^2 * 0.004 * 5^2) ≈ 1.256 N/m.
How do you find out how long a spring has stretched?
You can find out how long a spring has been stretched/compressed by knowing it's elastic constant and the force the spring is exerting trying to go back to it's original shape. F=K*x (Moore's law) F is the force exerted by the spring. K is the elastic constant. X is the displacement of the end of the spring from it's normal position. You want to find x, x = F/K
What is the expression for force constant?
The expression for the force constant (k) in Hooke's Law is given by the equation F = kx, where F is the force applied, k is the force constant, and x is the displacement from equilibrium. The force constant is a measure of the stiffness of a spring or a bond.
If a spring with spring constant k is cut into two equal parts what will be the spring constant of each part?
2k
What is the equation for a vertical spring-mass system?
The equation for a vertical spring-mass system is given by: m a -k x where: m mass of the object a acceleration of the object k spring constant x displacement from the equilibrium position
What is the spring displacement equation used to calculate the distance a spring is stretched or compressed from its equilibrium position?
The spring displacement equation is given by x F/k, where x is the distance the spring is stretched or compressed from its equilibrium position, F is the force applied to the spring, and k is the spring constant.
What is the spring constant when it is stretched 1.5 meters when a force of 60 N is applied to it?
To find the spring constant, we can use Hooke's Law which states that F = kx, where F is the force applied, k is the spring constant, and x is the displacement from the equilibrium position. Plugging in the values: 60 N = k * 1.5 m, we can solve for the spring constant k = 40 N/m.
