The first man who studied and partially understood the kinematics of a particle falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He constructed an apparatus consisting of two vertical boards, hinged together on one side and covered with blotting paper on the inside faces. A leaking water tap lets drops fall down between the boards at presumably equal intervals of time. When a string is suddenly pulled, the boards are clapped together and the positions of the drops on the blotters can be inspected. Suppose that the vertical boards are 3 feet long and the leaking faucet is at such height and the rate of dropping is so regulated that when a drop is just coming out of the faucet, the next or second drop is just at the top of the boards and the sixth drop is at the bottom of the boards, while drops 3, 4 and 5 are between the boards. Calculate the number of drops leaving the faucet per second.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1)
The first man who studied and partially understood the kinematics of a particle
falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He
constructed an apparatus consisting of two vertical boards, hinged together on one
side and covered with blotting paper on the inside faces. A leaking water tap lets
drops fall down between the boards at presumably equal intervals of time. When
a string is suddenly pulled, the boards are clapped together and the positions of
the drops on the blotters can be inspected. Suppose that the vertical boards are 3
feet long and the leaking faucet is at such height and the rate of dropping is so
regulated that when a drop is just coming out of the faucet, the next or second
drop is just at the top of the boards and the sixth drop is at the bottom of the
boards, while drops 3, 4 and 5 are between the boards. Calculate the number of
drops leaving the faucet per second.
ANS. 11.35 drops/sec
Transcribed Image Text:1) The first man who studied and partially understood the kinematics of a particle falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He constructed an apparatus consisting of two vertical boards, hinged together on one side and covered with blotting paper on the inside faces. A leaking water tap lets drops fall down between the boards at presumably equal intervals of time. When a string is suddenly pulled, the boards are clapped together and the positions of the drops on the blotters can be inspected. Suppose that the vertical boards are 3 feet long and the leaking faucet is at such height and the rate of dropping is so regulated that when a drop is just coming out of the faucet, the next or second drop is just at the top of the boards and the sixth drop is at the bottom of the boards, while drops 3, 4 and 5 are between the boards. Calculate the number of drops leaving the faucet per second. ANS. 11.35 drops/sec
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