The angular velocity of a wheel is the speed at which it rotates around its axis. This can be calculated by measuring the angle traveled in 1 second and multiplying that number by 2π radians.
The angular velocity of a wheel can be found by using the following formula:
angular velocity = 2*pi*radius/time.
To find the angular velocity of the wheel at 15 seconds, we plug in all the values to this equation and solve for time. That would mean that it is spinning with an angular velocity of 6.28 radians per second.
The angular velocity, also known as “spin” or “rotation”, is a measure of how fast an object rotates around its axis. It’s measured in degrees per second (deg/s) and can be calculated by multiplying the angle in radians by 2π.
The angular velocity of a wheel is calculated by multiplying its circumference with π. So if the wheel has a circumference of 100 cm, then its angular velocity is (π*100)/(60), or π/3 rpm (revolutions per minute). But that isn’t what you asked in your question, which was “what is the angular velocity of the wheel at 15 s”. Apparently, you are interested in finding out how many revolutions per second will be made by this wheel’s radius at 15 seconds. To do this, you need to convert your time unit from seconds to hours and minutes. For example, say it took 10 minutes for half.
The angular velocities exprressed in s-1 o f an object rotating about a point pasinat with position vector r may be calculated by the following formulas as seen in http://en.wikipedia.org/wiki/Angular_velocity_(mathematics):
v = θ · ω
ω θ · =φ on arcsin, and when v ≠constant then ω’ = -ω/(v -vec), so that ω” ≈ (k·η)/(k) where k = thesecond order dierential operator and vec is speed.