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The angular velocity of a flywheel obeys the equa tion w(1) A Br2, where t is in seconds and A and B are con stants having numerical values 2.75 (for A) and 1.50 (for B). (a) What are the units of A and B if w, is in rad/s

Sagot :

MrRoyal

Answer:

[tex]A \to rad/s[/tex]

[tex]B \to rad/s^3[/tex]

Explanation:

[tex]\omega_z(t)=A + Bt^2[/tex]

Required

The units of A and B

From the question, we understand that:

[tex]\omega_z(t) \to rad/s[/tex]

This implies that each of [tex]A[/tex] and [tex]Bt^2[/tex] will have the same unit as [tex]\omega_z(t)[/tex]

So, we have:

[tex]A \to rad/s[/tex]

[tex]Bt^2 \to rad/s[/tex]

The unit of t is (s); So, the expression becomes

[tex]B * s^2 \to rad/s[/tex]

Divide both sides by [tex]s^2[/tex]

[tex]B \to \frac{rad/s}{s^2}[/tex]

[tex]B \to rad/s^3[/tex]

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