Question

6. A boy is cycling that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60 cm.
a) Calculate the circumference of the circle.
b) Calculate the speed per hour.
c) Calculate the area of semi circle.
d) Find the distance travelled in 10 minutes
e) Write the benefits of cycling.

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Answer 1

Step-by-step explanation:

A boy is cycling that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60 cm.

a) Calculate the circumference of the circle.

b) Calculate the speed per hour.

c) Calculate the area of semi circle.

d) Find the distance travelled in 10 minutes

e) Write the benefits of cycling.

SOLUTION:

GIVEN : Cycle moving with 140 revolution per minute ( 60 sec)

Diameter = 60 cm

radius = D/2 = 60/2

Therefore, radius = 30 cm

a) Calculate the circumference of the circle

>> We know that circumference of a circle is

2 x pie x radius

2 x 22/7 x 30

= 188.57 cm

Therefore circumference is 188.57 cm

b) Calculate the speed per hour.

>>. We know that the cycle is travelling with a speed of 140 revolutions per minute

SPEED = DISTANCE

TIME

HERE, time = 1 hour

Distance = circumference x 140

because, 1 revolution = circumference

140 revolutions = circumference x 140

Distance = 188.57 x 140

= 26,399.8 cm ( 264 metres)

Hence,

Speed = 264 metres.

60 sec. ............. (2)

= 4.4 m/s

Speed in m/s = 4.4 m/s

Speed in km / hr = 4.4 x 18

5

THEREFORE SPEED = 15.84 km/hr

C) Calculate the area of semi circle.

>> We know that area of circle is

Pie x radius x radius

Therefore area of cemicircle is

1/2 x pie x radius x radius

1/2 x 22/7 x 30 x 30

= 1414.29 cm sq.

D) Find the distance travelled in 10 minutes.

We know that distance travelled per minute is 264 metres ( from 2)

Therefore, distance for 10 min is

= 264 x 10

= 2,640 metres

E) Write the benefits of cycling.

>> Benefits of cycling are:

• Cycling is good mainly for weight losing, muscular fitness, exercise etc

• It reduces mental stress and reduce risk of heart disease.

• It boosts imminue system and helps in overall body building and growth.

• It reduces pollution and saves fuel.

• It strengths the bones and joints.

• LASTLY, cycling brings joy and happiness.

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