Question

Автомобільне колесо, діаметр якого 60 см, робить 144 оберти за 12с. Визначте швидкість руху автомобіля?

Answer 1

V= \dfrac{2 \pi R}{T}=2 \pi \nu R \\ \nu = \dfrac{N}{T} \\ v = \dfrac{2\pi NR }{T} \\ v = \dfrac{2*3.14*144*0.3}{12} = 22.6 м/с

Answer 2

Calculation of Speed

To determine the speed of the car, we can use the formula:

Speed = Distance / Time

In this case, the distance traveled by the car is equal to the circumference of the wheel, which can be calculated using the formula:

Circumference = 2 * π * Radius

Given that the diameter of the wheel is 60 cm, the radius can be calculated as half of the diameter:

Radius = Diameter / 2 = 60 cm / 2 = 30 cm

Now, we can calculate the circumference:

Circumference = 2 * π * 30 cm

To find the speed, we need to know the time it takes for the wheel to make 144 revolutions. The time given is 12 seconds.

Speed = Circumference * Number of Revolutions / Time

Substituting the values into the formula:

Speed = (2 * π * 30 cm) * 144 / 12 seconds

Now, let's calculate the speed.