Question

Найти центростремительное ускорение точек колеса автомобиля,соприкасающихся с дорогой,если автомобиль движется со скоростью 72 км/ч и при этом частота вращения колеса 8 с(вверху над с -1).напишите решение,если ответ:1 км/с в квадрате

Answer 1

Найти центростремительное ускорение точек колеса автомобиля,соприкасающихся с дорогой,если автомобиль движется со скоростью 72 км/ч и при этом частота вращения колеса 8 с(вверху над с -1).напишите решение,если ответ:1 км/с в квадрате

Дано   V=72 км/ч=20 м/с  f=8 с^-1    a - ?
 
a= w^2*R=w*R*w=V*2*пи*f=20*6,28*8=1004,8 м/c^2

Ответ  а=1004,8 м/с2

 

Answer 2

Finding the Centripetal Acceleration of the Points on a Car Wheel in Contact with the Road

To find the centripetal acceleration of the points on a car wheel in contact with the road, we need to use the formula for centripetal acceleration:

Centripetal acceleration (a) = (angular velocity (ω))^2 * radius (r)

Given: - Car speed = 72 km/h - Wheel rotation frequency = 8 s^(-1)

To solve this problem, we need to convert the car speed from km/h to m/s and calculate the angular velocity (ω) using the rotation frequency.

Conversion of Car Speed from km/h to m/s

To convert the car speed from km/h to m/s, we use the following conversion factor:

1 km/h = 0.27778 m/s

Therefore, the car speed in m/s is:

Car speed = 72 km/h * 0.27778 m/s = 20 m/s

Calculation of Angular Velocity (ω)

The angular velocity (ω) can be calculated using the formula:

ω = 2π * frequency (f)

Given that the frequency is 8 s^(-1), we can calculate the angular velocity as follows:

ω = 2π * 8 s^(-1) = 16π rad/s

Calculation of Centripetal Acceleration (a)

Now that we have the car speed in m/s and the angular velocity, we can calculate the centripetal acceleration using the formula mentioned earlier:

Centripetal acceleration (a) = (angular velocity (ω))^2 * radius (r)

However, the radius of the wheel is not provided in the question. Without the radius, we cannot calculate the centripetal acceleration accurately. Please provide the radius of the wheel so that we can proceed with the calculation.

If you have any further questions, please let me know.