worksheet_18.doc

18 Worksheet (A2) Data needed to answer questions can be found in the Data, formulae and relationships sheet. 1

Convert the following angles into radians. a b c

2

## da&s 1 da&.

[1 [1

- car travels at a high speed round a sharp corner. - planet orbits the )un. -n electron orbits the positive nucleus of an atom. Clothes spin round in the drum of a washing machine.

[1 [1 [1 [1

-n aeroplane is circling in the s'& at a speed of 1"0 m s 1. $he aeroplane describes a circle of radius !0 'm. /or a passenger of mass (0 'g inside this aeroplane, calculate* a b c

6

[1 [1 [1

+n each case below, state what provides the centripetal force on the obect. a b c d

5

1.0 rad #.0 rad 0.1" rad

$he planet %ercur& ta'es (( da&s to orbit once round the )un. Calculate its angular displacement in radians during a time interval of* a b

4

[1 [1 [1

Convert the following angles from radians into degrees. a b c

3

30° !10° 0.0"°

her angular velocit& her centripetal acceleration the centripetal force acting on her.

[! [3 [!

$he diagram shows a stone tied to the end of a length of string. +t is whirled round in a horizontal circle of radius (0 cm.

$he stone has a mass of 0 g and it completes 10 revolutions in a time of (.! s. a Calculate* the time ta'en for one revolution the distance travelled b& the stone during one revolution this distance is equal to the circumference of the circle2 iii the speed of the stone as it travels in the circle iv the centripetal acceleration of the stone v the centripetal force on the stone.

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hat provides the centripetal force on the stone4

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i ii

b

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7riginal material 8 Cambridge 9niversit& 6ress !010

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1

c

hat is the angle between the acceleration of the stone and its velocit&4

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7riginal material 8 Cambridge 9niversit& 6ress !010

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2

18 Worksheet (A2)

7

- lump of cla& of mass 300 g is placed close to the edge of a spinning turntable. $he centre of mass of the lump of cla& travels in a circle of radius 1! cm.

a

$he lump of cla& ta'es 1.: s to complete one revolution. i ii

b

8

Calculate the rotational speed of the cla&. Calculate the frictional force between the cla& and the turntable.

$he ma;imum magnitude of the frictional force  F  between  between the cla& and the turntable is