A few kids decide to go to the park to go on the merry-go-round. They are the only ones there so the merry-go-round is not moving yet. They push it for 2.00 s and it moves over an angle of 335°. What is the final angular velocity of the merry-go-round? 1.07 rad/s 5.85 rad/s 45.6 rad/s 21.5 rad/s
Question
A few kids decide to go to the park to go on the merry-go-round. They are the only ones there so the merry-go-round is not moving yet. They push it for 2.00 s and it moves over an angle of 335°. What is the final angular velocity of the merry-go-round? 1.07 rad/s 5.85 rad/s 45.6 rad/s 21.5 rad/s
Solution 1
To solve this problem, we first need to convert the angle from degrees to radians because the standard unit of angular measurement in physics is radians.
1 radian = 180/π degrees So, 335 degrees = 335 * π/180 = 5.85 radians
Next, we know that angular velocity (ω) is the rate of change of angular displacement (θ) with respect to time (t). It can be calculated using the formula:
ω = θ / t
Substituting the given values into the formula:
ω = 5.85 rad / 2.00 s = 2.925 rad/s
So, the final angular velocity of the merry-go-round is 2.925 rad/s. However, this option is not available in the given choices. There might be a mistake in the problem or the given options.
Solution 2
To solve this problem, we first need to convert the angle from degrees to radians because the standard unit of angular measurement in physics is radians.
1 radian = 180/π degrees So, 335 degrees = 335 * π/180 = 5.85 radians
Next, we know that angular velocity (ω) is the rate of change of angular displacement (θ) with respect to time (t). It can be calculated using the formula:
ω = θ / t
Substituting the given values into the formula:
ω = 5.85 rad / 2.00 s = 2.925 rad/s
So, the final angular velocity of the merry-go-round is 2.925 rad/s. However, this option is not available in the choices provided. There might be a mistake in the problem or the options provided.
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