SOLUTION: Q1 Water is taken from a well 11 m deep in a bucket, the rope winding on to a drum 35 cm in diameter. a. Through what angle does the handle turn in winding up 1 metre of rope? b.

Question 1153230: Q1 Water is taken from a well 11 m deep in a bucket, the rope winding on to a drum 35 cm in diameter.
a. Through what angle does the handle turn in winding up 1 metre of rope?
b. How many revolution of the handle does it take to bring the bucket up from the bottom?
c. If the arm of the handle is 42 cm long, how far does the handle of the winder travel when bringing the bucket up from the bottom?
Q2 A circular wire clip of radius 7 mm is with a gap of 7 mm between the ends. Calculate the total length of wire in the clip to the nearest mm, given that about 4 mm are used altogether in making the turnovers at the ends
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Water is taken from a well 11 m deep in a bucket, the rope winding on to a drum 35 cm in diameter.
a. Through what angle does the handle turn in winding up 1 metre of rope?
Find the circumference C of the drum.
1 turn (360 degs) moves the bucket that distance.
-------------
b. How many revolution of the handle does it take to bring the bucket up from the bottom?
Divide 11 meters by C.
-----
c. If the arm of the handle is 42 cm long, how far does the handle of the winder travel when bringing the bucket up from the bottom?
The # of turns in (b) times the circumference with r = 42 cm.
========================================
Q2 A circular wire clip of radius 7 mm is with a gap of 7 mm between the ends. Calculate the total length of wire in the clip to the nearest mm, given that about 4 mm are used altogether in making the turnovers at the ends
Not clear.
RELATED QUESTIONS
Water is taken from a well 11m deep in a bucket, the rope winding on to a drum 35cm in... (answered by ikleyn)

water is taken from a well 11m deep in a bucket, the rope winding on a drum 35cm in... (answered by addingup)

A bucket of water is brought up from a well 9.68 m deep by a rope which winds round a... (answered by mananth)

A 5 gallon bucket is full of water at the bottom of the well. It is pulled to the top... (answered by lwsshak3)

A bucket is raised from a well by means of a rope which is wound round a wheel of... (answered by stanbon)

How deep is a well that takes 8 cranks on a six inch diameter windlass to raise the... (answered by Alan3354)

A bucket is raised from a well by means of a rope which is wound round a wheel of... (answered by josgarithmetic)

99 liters of oil is poured into a cylindrical drum 60 cm in diameter how deep is the oil... (answered by Boreal)

Consider a bucket which is cylindrical in shape with a diameter of 25 cm and height of 35 (answered by josgarithmetic)