A wheel rotate 200° in 4 seconds. calculate the angular turn in radius.
A wheel rotate 200° in 4 seconds. Calculate the angular velocity in radius
angular velocity = angle/time = (200*π/180)/4 = 40π/9 rad/s
To calculate the angular turn in radians, we need to convert the given angle from degrees to radians.
Recall that there are 360 degrees in a full circle, which is equivalent to 2π radians. Therefore, to convert from degrees to radians, we use the following conversion factor:
1 radian = π/180 degrees
Given that the wheel rotates 200° in 4 seconds, we can calculate the angular turn in radians as follows:
Angular turn in radians = (200° * π/180 radians/degree)
Angular turn in radians = (200π/180) radians
Angular turn in radians = (10π/9) radians
Therefore, the angular turn in radians is 10π/9 radians.