A bicycle wheel is rotating about a fixed axis at 10 rev/s in a clockwise sense. Five seconds later the wheel is rotating at 50 rev/s also in a clockwise sense. What is the average angular acceleration in this 5 second interval

the average angular acceleration is 50.265 rad/s²

Step-by-step explanation:

since the angular acceleration represents the rate of change of the angular velocity ω with respect to the time t , then:

average angular acceleration = (ω₂-ω₁)/(t₂-t₁)

where 2 represents the final state and 1 the initial one. Also the angular velocity is related with the frequency f through :

angle covered / time = angle covered / revolution * revolutions/ time

ω= 2π*f

therefore

average angular acceleration = 2π*(f₂-f₁)/(t₂-t₁)

replacing values

average angular acceleration = 2π*(f₂-f₁)/(t₂-t₁) = 2π rad/rev *(50 rev/s-10 rev/s)/(5 s - 0 s) = 16*π rad/s² = 50.265 rad/s²

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05