Final answer:
The angular speed of the motorcycle wheel is 4π radians per second.
Step-by-step explanation:
To find the angular speed of the motorcycle wheel in radians per second, we can convert the given rotational speed of 120 revolutions per minute (rpm) to radians per second.
1 revolution is equal to 2π radians, so 120 revolutions per minute is equal to 120 x 2π radians per minute. To convert this to radians per second, we divide by 60 since there are 60 seconds in a minute. Therefore, the angular speed is (120 x 2π) / 60 π radians per second, which simplifies to 4π radians per second.
So, the angular speed of the motorcycle wheel is 4π radians per second.