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Restoring torque is the torque exerted by a torsional spring that tends to return a system to its equilibrium position when it is displaced by an angular twist. It is characterized by the formula τ = Kt × θ, where Kt is the torsional spring constant and θ is the angle of twist.
The calculator uses the formula:
Where:
Explanation: The restoring torque is directly proportional to both the torsional spring constant and the angle through which the spring is twisted from its equilibrium position.
Details: Calculating restoring torque is essential in mechanical systems involving torsional springs, such as in automotive suspensions, watch mechanisms, and various rotational systems where restoring forces need to be precisely determined for proper system design and functionality.
Tips: Enter the torsional spring constant in N·m/rad and the angle of twist in radians. Both values must be positive numbers (Kt > 0, θ ≥ 0).
Q1: What is torsional spring constant?
A: The torsional spring constant (Kt) is a measure of the spring's resistance to twisting. It represents the torque required to twist the spring through one radian.
Q2: How is angle of twist measured?
A: Angle of twist is measured in radians, which is the SI unit for angular displacement. One full revolution equals 2π radians.
Q3: What are typical units for torsional spring constant?
A: The torsional spring constant is typically measured in Newton-meters per radian (N·m/rad) in the SI system.
Q4: Can this formula be used for any torsional spring?
A: This formula applies to ideal linear torsional springs where the restoring torque is directly proportional to the angle of twist, within the elastic limit of the material.
Q5: What happens if the angle exceeds the spring's elastic limit?
A: If the angle exceeds the elastic limit, the spring may undergo plastic deformation, and the linear relationship between torque and angle may no longer hold.