 |
| Powered by phpBay Pro |
kinetic energy and linear speed?
A bowling ball is released at the upper edge of a ramp that is inclined at an angle of 37 degrees with the floor. The ramp is 5.0 m long. The ball is allowed to roll freely without slipping under the influence of gravity down the ramp. The ball has a mass of 4 kg and a diameter of .4 meters. Assume the bowling ball is a uniform sphere.
a. Calculate the total kinetic energy (rotational and translational) of the bowling ball at the bottom of the ramp.
b. Calculate the linear speed of the ball at the bottom of the ramp.
c. How would the speed of a steel ball bearing with a mass of .450 kg and diameter of 2 cm compare with the speed of the bowling ball at the bottom of the ramp?
a. Calculate the total kinetic energy (rotational and translational) of the bowling ball at the bottom of the ramp.
2/5 mr^2 = inertia
RKE + linear KE = 1.4 x linear KE
1.4mv^2 = 2mgh
simplified 0.7mv^2 = mgh
5sin(37) = vertical height = 3.009 m
mgh = 4 x 9.8 x 3.009 = 117.96 J (answer)
b. Calculate the linear speed of the ball at the bottom of the ramp.
sq-root((gh)/0.7) = v
sq-root((9.8 x 3.009)/0.7) = 6.49 m/s (answer)
c. How would the speed of a steel ball bearing with a mass of .450 kg and diameter of 2 cm compare with the speed of the bowling ball at the bottom of the ramp.
It would be equal @ 6.49
1/2v^2 x (mass + (inertia/r^2)) = mgh
|
 2pcs SCS60LUU Linear Ball Bearing XYZ Table CNC Router  US $599.99
|
 2pcs SC60LUU Linear Ball Bearing XYZ Table CNC Router US $599.99
|
 4pcs SC60UU Linear Ball Bearing XYZ Table CNC Router US $599.99
|
 4pcs SC60UU SCS60UU Linear Motion Ball Slide Bearing CNC US $589.00
|
 INA Linear Ball Bearing KUVE 20 W KD New 3760 00284 US $501.11
|
 500pcs LM8UU 8mm Linear Ball Bearing Bush Bushing US $499.99
|
 8pcs LM60UU 60mm Linear Ball Bearing Bush Bushing New US $399.99
|
 4pcs LME60UU 60mm Linear Ball Bearing Bush Bushing New US $399.99
|
 8pcs LM60UU 50mm Linear Ball Bearing Bush Bushing New US $399.99
|
 4pcs LME60UU 50mm Linear Ball Bearing Bush Bushing New US $399.99
|
 1pcs SCS60LUU Linear Ball Bearing XYZ Table CNC Router US $399.00
|
 1pcs LM100UU 100mm Linear Ball Bearing Bush Bushing US $399.00
|
 8pcs LM60UU 60mm Linear Ball Bearing Bush Bushing US $399.00
|
 CNC Router Linear SW48 3inch Ball Bushing Bearing US $394.80
|
 THOMSON ACCUGLIDE LINEAR BALL BEARING SLIDES P N CG25AAAN D236 US $389.95
|
 NEW Newport Ball Bearing Linear Stage M UMR 851 US $350.00
|
 Parker Hannifin Daedal Ball Bearing linear positioning table US $350.00
|
 Nippon Bearing SW48 3inch Ball Bushings Linear VXB US $329.00
|
 2pcs SCS50LUU Linear Ball Bearing XYZ Table CNC Router US $249.99
|
 2pcs SC50LUU Linear Ball Bearing XYZ Table CNC Router US $249.99
|
 4pcs SC50UU Linear Ball Bearing XYZ Table CNC Router US $249.99
|
 4pcs SBR50UU Linear Ball Bearing Block 50mm CNC Router US $246.00
|
 4pcs SC50UU SCS50UU Linear Motion Ball Slide Bearing CNC US $245.00
|
 Newport 450A Compact Ball Bearing Linear Stage US $239.99
|
 Lot of 2 THK RSR12WV A6HI Linear Ball Bearing 23 Long US $225.00
|
 FAG LAG40X62X80 LINEAR BALL BEARING LOT NEW US $225.00
|
 20mm linear ball bearing xyz cnc shaft set 1 x 2 x 3 ft US $224.99
|
| Powered by phpBay Pro |