This discussion focuses on calculating the spring constant, tension force, and power of crossbows using physics principles. Key formulas include the spring constant \( k = \frac{m \cdot v^2}{d^2} \), where \( m \) is the mass of the arrow (100 grams), \( v \) is the arrow's velocity, and \( d \) is the tension distance (0.175 m). The tension force is derived from Hooke's law \( F = k \cdot d \). Additionally, the discussion highlights the complexities of non-linear spring behavior and the need for accurate measurements of arrow velocity and spring characteristics.
PREREQUISITESPhysics enthusiasts, engineers, and hobbyists involved in crossbow design and performance analysis will benefit from this discussion, particularly those interested in the mechanics of projectile motion and energy transfer.
pevi70 said:
Extension of the rubber band can be measured easily enough with a ruler. If you don't have a dynamometer on hand, you can measure draw force the way it was traditionally measured - hang the crossbow on a wall, and attach weights of known mass to the spring, measuring the distance the nocking point moves for each weight (hence the traditional nomenclature for bow power - 'draw weight'), as well as the associated extension of the rubber band.pevi70 said:
Nidum said:
