Uniform Circular Motion Lab report

spinning arm. The radius was calculated to be 17.3 ± 0.15 cm. The equipment is constructed so that the rope connecting the bob stays upright during the action. The elastic is stretched using a bucket containing weights. The weights are added until the bob is aligned with the pointer. This was done with 5 different strengths of elastics and springs. The magnitude of this force is calculated by multiplying mass and gravity. The bucket and weights are taken out before starting the rotations. The rotatable arm was rotated until the bob was once again aligned with the pointer. After this, the bob was realigned with the pointer and the time it took for 2 rotations was calculated. Table 1: Mass, Time, Velocity and Centripetal force measurements m(kg) Velocity (cm/s) Velocity squared a(cm/s^2) centripetal force (N) Number of revolutions t1 (s) t2(s) t3(s) Average T (s) Periods T (s) Trial 1 0.099 2.95 8.74 0.506 0.051 2 2.776 2.9 2.99 2.89 1.445 Trial 2 0.660 12.3 150 8.74 5.77 2 3.27 2.05 1.46 2.26 1.13 Trial 3 0.160 3.27 10.7 0.620 0.099 2 3.36 3.41 2.29 3.02 1.51 Trial 4 0.196 11.7 136 7.87 1.55 2 3.36 2.4 2.72 2.83 1.415 Trial 5 0.460 17.8 316 18.4 8.45 2 3.42 3.72 4.20 3.78 1.89 Table 2: Errors in Calculations Error in m(kg) Error in Velocity (cm/s) Error in Velocity squared Error in a(cm/s^2) Error in centripetal force (N) Error in Time (s) Error in radius Trial 1 0.000025 0.0121 0.110 0.0126 0.0249 0.035 0.015 Trial 2 0.000040 0.0133 0.115 0.0011 0.000145 0.030 0.015 Trial 3 0.000035 0.00342 0.0585 0.0055 0.0089 0.010 0.015

g = 9.81 - (2*pi/86400) ^2*6.37*10^6*cos 42.4 g = 9.785 W=1000(9.785) W= 9785 4a. R=v^2/ug = 234.67^2/(0.5*32) = 3442 ft 4b. T=2pir/V = 92.16 s 4c. Formula 1 racers must change their tires regularly because the wear coefficient of friction decreases, requiring them to take corners more slowly.