Question

Если точки колеса движутся с ускорением 0,9 км/с^2, а радиус колеса 45 см, то чему равна частота вращения колеса?

Answer 1

есть формула a=4π²*R*ν²

ν²=a\4π²R

ν²=0.9\39.4*0.45

ν²=0.05

ν=0.225

Answer 2

Calculation of the Wheel's Angular Velocity

To calculate the angular velocity of the wheel, we can use the formula:

Angular velocity (ω) = (Linear acceleration (a)) / (Radius (r))

Given that the linear acceleration of the wheel is 0.9 km/s^2 and the radius of the wheel is 45 cm, we can substitute these values into the formula to find the angular velocity.

Converting the linear acceleration from km/s^2 to m/s^2: 0.9 km/s^2 = 0.9 * 1000 m/s^2 = 900 m/s^2

Converting the radius from cm to m: 45 cm = 45 / 100 m = 0.45 m

Substituting the values into the formula: Angular velocity (ω) = 900 m/s^2 / 0.45 m = 2000 rad/s

Therefore, the angular velocity of the wheel is 2000 rad/s.