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Mathematics

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Apr 27, 2024

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Rolling Cans Physical Lab Hypothesis (5 Points) The full can rolls down the ramp faster than the empty one due to it having a higher mass. This causes more force to push it down the ramp which creates energy to build up and create the can to speed up and go faster. Data Table | (6 Points) Can Diameter (m) 074 Can Radius (m) 037 Ramp Height (m) .32m Ramp Length (m) 1.76m Ramp Angle (-) 10.48 degrees Displacement (m) 1.6m Calculations (2 Points Each) A. Can Radius radius=diameter/2 radius=.074/2 radius=.037m B. Ramp Angle arcsin(((sin(90))32)/176)=10.48 degrees Data Table Il (6 Points) Trial 1 Trial 2 Trial 3 Empty Can 1.88s 1.74s 1.83s Full Can 1.39s 1.45s 1.49s Calculations Table (17 Points)
Average Time Average Velocity Final Velocity Predicted Final Velocity Empty Can 1.81s .88m/s 1.81m/s 2.12m/s Full Can 1.44s 1.11m/s 1.93m/s 2.12m/s Calculations (2 Points Each) A. Average Time Empty Can: (1.88+1.74+1.83)/3=1.81s Full Can: (1.39+1.45+1.49)/3=1.44s B. Average Velocity Average velocity=total displacement/total time Empty Can: Vavg=1.6/1.81=.88m/s Full Can: Vavg=1.6/1.44=1.11m/s C. Final Velocity VfA2=v0"2-2gh(y-direction) V for x=displacement/time VEA2=(VX)A2+(Vy)A2 Vf=1.93m/s Predicted Final Velocity (sample calculations for Full can) (5 Points Each) A. Conservation of Energy Equation including rotational kinetic energy. PE=mgh KE=.5mv"2+.5lw"2 |=2/5mr"2
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