Using a second diagram of the length of string and radius, determine the value of in the last θ question. = sin-1 (r/L) θ Trial photogate 1 time photogate 2 time = sin-1(1.000m /2.733 m) θ Number (s) (s) = 21.46° θ 1 0.056 0.042 Use the free body diagram to 2 0.058 0.041 determine the centripetal force acting on the pig. 3 0.063 0.043 = x Fc Fg tanθ 4 0.058 0.042 = (0.500 kg x 9.81 Fc m/s2) x tan(21.46°) Average 0.059 0.042 = 1.928 N Fc Using the centripetal force, determine the theoretical velocity of the pig. = Fc mv2/r = (Fc / = 1.96 m/s v r m)1/2 * Note: It seems that better results are yielded by using a larger mass in the experiment. * Sample Calculations for of Energy in Hot Lab “Conservation Wheels” Data: = _84.5 cm_ h = _29.0 cm_ d = _5.5cm__ s1 = _9.5 cm__ s2 Analysis:
Using a second diagram of the length of string and radius, determine the value of θ in the last question. θ = sin-1 (r/L) θ = sin-1(1.000m /2.733 m) θ = 21.46° Use the free body diagram to determine the centripetal force acting on the pig. Fc = Fg x tanθ Fc = (0.500 kg x 9.81 m/s2) x tan(21.46°) Fc = 1.928 N Using the centripetal force, determine the theoretical velocity of the pig. Fc = mv2/r v = (Fc r / m)1/2 = 1.96 m/s * Note: It seems that better results are yielded by using a larger mass in the experiment. * Sample Calculations for “Conservation of Energy in Hot Wheels” Lab Data: Trial Number photogate 1 time (s) photogate 2 time (s) 1 0.056 0.042 2 0.058 0.041 3 0.063 0.043 4 0.058 0.042 Average 0.059 0.042 h = _84.5 cm_ d = _29.0 cm_ s1 = _5.5cm__ s2 = _9.5 cm__ Analysis:
Physics_20_Laboratory_Manual.docx