A uniform magnetic field of B = 6.31 T passes through a horizontal circular wire loop (r0 = 3.26 cm) at an angle LaTeX: \thetaθ = 17.3 degrees from the vertical. The radius of the loop is oscillating according to the equation LaTeX: r\left(t\right)=r_0\:\sin\left(\ome ga t\right)r ( t ) = r 0 sin ⁡ ( ω t ) with an angular frequency LaTeX: \omegaω of 1.75 rad/s. What is the equation for the time-dependent magnetic flux in terms of B, r0, t, LaTeX: \thetaθ, and LaTeX: \omegaω?