To find out the terminal velocity of a spherical body in water.
Requirements (Instruments, Chemicals & Other) :
• A glass cylinder of about 5 cm (or more) in diameter and about 100 cm in length
• Spherical metal balls of diameters ranging from 1 to 3 mm
• Stop watch
• Screw gauge
• Meter scale
• Experimental liquid (water)
Procedure :
- Select three sets of balls; measure the diameter (2r) and hence the radius (r) of each ball by screw gauge. If the balls are very small, use a microscope for the measurement of the radius.
- Set the cylinder vertically on a stand and pour the experimental liquid (water) slowly.
- Measure the height H of the liquid column by a meter scale.
- Put horizontal marks Y and Z on the outer surface of the cylinder.
- Wet the balls thoroughly in the experimental liquid and then drop one ball from each set gently one by one starting from the largest size with the help of a spatula into the liquid in the cylinder so that they fall centrally.
- For each ball, note the times of crossing of the distances Y and Z by a stop watch. Note the reading in Table.
- After adjusting the positions of the markings Y and Z, drop the balls of one set gently again one by one and note by a stop watch the time taken by each ball in crossing the marks Y and Z. Measure the distance YZ by a meter scale and obtain the terminal velocity ( v' ) by dividing the distance by the mean time for a set of balls