Table 1: relationship between angular velocity, tangential velocity and centripetal acceleration of +the ladybug on the...

    

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Table 1: relationship between angular velocity, tangential velocity and centripetal acceleration of +the ladybug on the turntable. Angular Velocity (degrees/ second) 45 90 135 180 225 270 Tangential Velocity v (m/s) 1.571 3.142 4.712 6.283 7.854 9.425 Centripetal Acceleration ac (m/s²) 1.234 4.935 11.103 19.739 30.843 44.413 Table 2: Relationship between radius, tangential velocity and centripetal acceleration of the ladybug on the turntable. 1m 2m 3m 4m Radius (m) Tangential Velocity v (m/s) 1.617 3.142 4.742 6.268 Centripetal acceleration ac (m/s²) 2.540 4.935 7.449 9.846 12 10 8 6 4 2 0 dCode 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 1. There are two equations for centripetal acceleration. Which equation for centripetal acceleration agrees with the relationship shown in your centripetal acceleration vs radius graph? Why do you think so? ac= 4²r / T² or ac = v²2²/r₁ 2. Find the slope of the line of best fit for your graph and write an equation of the line in slope-intercept form. Don't forget to include units for both your slope and your y-intercept. 3. What does your slope represent? Use this to determine the period of the platform. Show all your calculations. 4. Your platform was set with a constant angular velocity of 90 degrees/second. Describe, in your own words, what an angular velocity, w = 90 degrees/second actually means? Determine how long it would take the ladybug to make one full rotation. Table 1: relationship between angular velocity, tangential velocity and centripetal acceleration of +the ladybug on the turntable. Angular Velocity (degrees/ second) 45 90 135 180 225 270 Tangential Velocity v (m/s) 1.571 3.142 4.712 6.283 7.854 9.425 Centripetal Acceleration ac (m/s²) 1.234 4.935 11.103 19.739 30.843 44.413 Table 2: Relationship between radius, tangential velocity and centripetal acceleration of the ladybug on the turntable. 1m 2m 3m 4m Radius (m) Tangential Velocity v (m/s) 1.617 3.142 4.742 6.268 Centripetal acceleration ac (m/s²) 2.540 4.935 7.449 9.846 12 10 8 6 4 2 0 dCode 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 1. There are two equations for centripetal acceleration. Which equation for centripetal acceleration agrees with the relationship shown in your centripetal acceleration vs radius graph? Why do you think so? ac= 4²r / T² or ac = v²2²/r₁ 2. Find the slope of the line of best fit for your graph and write an equation of the line in slope-intercept form. Don't forget to include units for both your slope and your y-intercept. 3. What does your slope represent? Use this to determine the period of the platform. Show all your calculations. 4. Your platform was set with a constant angular velocity of 90 degrees/second. Describe, in your own words, what an angular velocity, w = 90 degrees/second actually means? Determine how long it would take the ladybug to make one full rotation.