Level:
Project ID:
2000010805
Accepted:
0
Clonable:
0
Easy:
1
A flywheel rotates such that it sweeps out an angle at the rate of
\[
\varphi = 4t^2,
\]
where an angle \(\varphi\) is measured in radians and time \(t\) is measured in seconds. At what time is instantaneous angular velocity of the flywheel equal to \(36\,\frac{\mathrm{rad}}{s}\)? (Hint: Instantaneous angular velocity can be expressed as the derivative of the function \(\varphi(t)\) with respect to time: \(\omega(t)=\frac{\mathrm{d}\varphi}{\mathrm{d}t}\).)
\( 4.5 \,\mathrm{s}\)
\( 3\,\mathrm{s}\)
\( 288 \,\mathrm{s}\)
\( 9 \,\mathrm{s}\)