Question

The diameter of a wheel is 70 cm. It completes 600 revolutions in 1 minute. The speed, in km/h, of the

vehicle is:(​

Answer 1

Answer:

70 cm * 600 = 42,000 cm

42,000 cm is 0.42 kilometers per minute

0.42 km * 60 = 25.2 km

Therefore, The car travels 25.2 km per hour.

Step-by-step explanation:

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Answer 2

Answer:

$\bigstar{\bold{Speed=79.2\:km/hr}}$

Step-by-step explanation:

$\Large{\underline{\underline{\sf{Given:}}}}$

• Diameter of the wheel(d) = 70 cm
• Revolutions per minute = 600

$\Large{\underline{\underline{\sf{To\:Find:}}}}$

• Speed in km/hr

$\Large{\underline{\underline{\sf{Solution:}}}}$

→ Here we have to find the speed of the wheel

→ First we have to find the distance travelled by the wheel in one revolution.

→ Distance travelled by wheel = Circumference of the wheel

  Distance travelled by wheel = π d

→ Substituting the datas

  Distance travelled by the wheel = 22/7 × 70

                                                        = 22 × 10

                                                        = 220 cm

→ Distance travelled in 600 revolutions = 600 × 220

                                                                  = 132000 cm

                                                                  = 1320 m

→ We know that speed is given by the equation,

  Speed = Distance/Time

→ Here time taken = 1 min = 60 s

→ Substitute the datas,

   Speed = 1320/60

   Speed = 22 m/s

→ To convert it into km/hr, multiply by 18/5

   Speed = 22 × 18/5 = 79.2 km/hr

→ Hence the speed of the wheel is 79.2 km/hr

$\boxed{\bold{Speed=79.2\:km/hr}}$

$\Large{\underline{\underline{\sf{Notes:}}}}$

→ Speed = Distance/Time

→ Distance = Speed × Time

→ Time = Distance/Speed