the radius of the wheel of a vechile is 70cm the wheels make 10; revolution in 5 second find the speed of the wheel in m/ s ( take r= 22/7)
Answers
ANSER :
distance coveredin 1 revolution = circumference of wheel. Now, It is given that wheel makes 10 revolutions in 5 seconds. Speed of the wheel is 8•8 m/s.
Speed of Wheel = 8.8 m / s
Given :
Radius of Wheel ( r ) = 70 cm
Time = 5 seconds
No. Of Revolutions = 10
To Find :
Speed of Wheel ( m/s ) = ?
Formula :
Speed = Distance / Time
Solution :
Step I : Find Distance Covered In One Revolution
Distance Covered In 1 Revolution = Circumference of Wheel
Distance Covered in One Revolution = 2πr
Distance Covered In One Revolution = 2 × 22/7 × 70
Distances Covered in One Revolution = 440 cm
Step II : Find Distance Covered In 10 Revolutions
Distance Covered In 10 Revolution = 440 cm × 10 = 4400 cm
Step III : Find Speed of The Wheel
Speed = Distance / Time = 4400 cm / 5 s = 880 cm / s
Now, We Have Found The Speed In cm / s , We Have To Calculate It in m / s
Step IV : Find Speed of The Wheel In m / s
Speed In m / s = Speed In (cm / s) divided by 100
Speed ( m / s ) = 880 / 100 = 8.8 m / s