Question

Чему равна линейная скорость точки обода колеса,если радиус колеса равен 30 см и один оборот она совершает за 2 секунды? Чему равно угловая скорость колеса?

Answer 1

РЕШЕНИЕ

T=2c

v=2piR/T=2pi*0.3/2=0,942 м/с

w=2pi/T=pi=3.14 рад/с

Answer 2

Linear Velocity of the Wheel's Rim

The linear velocity of a point on the rim of a wheel can be calculated using the formula:

Linear velocity = 2 * π * radius / time

Given that the radius of the wheel is 30 cm and it completes one revolution in 2 seconds, we can substitute these values into the formula to find the linear velocity.

Linear velocity = 2 * π * 30 cm / 2 seconds

Calculating this expression gives us the linear velocity of the wheel's rim.

Linear velocity = 30 * π cm/s.

Angular Velocity of the Wheel

The angular velocity of the wheel can be calculated using the formula:

Angular velocity = 2 * π / time

Given that the wheel completes one revolution in 2 seconds, we can substitute this value into the formula to find the angular velocity.

Angular velocity = 2 * π / 2 seconds

Calculating this expression gives us the angular velocity of the wheel.

Angular velocity = π rad/s.

So, the linear velocity of the point on the wheel's rim is 30π cm/s and the angular velocity of the wheel is π rad/s.