Answer :
The wheel rotates through an angular displacement of 540 degrees in 2.00 seconds.
During a time interval of 2.00 s, a wheel completes 1.50 revolutions. To find the angular displacement of the wheel, we need to determine how many degrees it rotates during this time.
To start, let's convert the number of revolutions to degrees. Since one revolution is equal to 360 degrees, we can multiply the number of revolutions (1.50) by 360 to find the total angular displacement in degrees:
1.50 revolutions * 360 degrees/revolution = 540 degrees
So, the wheel rotates through an angular displacement of 540 degrees in 2.00 seconds.
Alternatively, we can also use the formula to find the angular displacement:
Angular displacement = (Number of revolutions) * (360 degrees/revolution)
Angular displacement = 1.50 revolutions * 360 degrees/revolution
Angular displacement = 540 degrees
Therefore, the wheel rotates through an angular displacement of 540 degrees in 2.00 seconds.
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