Please help me answer this fast and I will leave a like **Gear Mechanics Problem Solving****Problem Statement:**Gear B has an angular acceleration, \( \alpha_B = \frac{1}{4}t^2 + \frac{2}{5}t + \frac{1}{6} \) rad/\(s^2\) (t is in seconds). The radius of Gear A is 2 inches and the radius of Gear B is 4 inches. Determine the angular velocity and the angular displacement of Gear A at \( t = 3 \) seconds.**Visual Aid Description:**The provided image displays two interlocking gears labeled as Gear A and Gear B. Gear A is the smaller gear, positioned to the left, and Gear B is the larger gear, positioned to the right. The image aids in visualizing the relative sizes and positions of the gears, which are important for understanding the mechanical relationship and calculations.**Formulas Needed:**1. Angular Velocity: \( \omega_A \)2. Angular Displacement: \( \theta_A \)**Given Data:**- Angular acceleration of Gear B, \( \alpha_B = \frac{1}{4}t^2 + \frac{2}{5}t + \frac{1}{6} \) rad/\( s^2 \)- Radius of Gear A, \( r_A = 2 \) inches- Radius of Gear B, \( r_B = 4 \) inches**Tasks:**Determine the following at \( t = 3 \) seconds:1. Angular Velocity, \( \omega_A \)2. Angular Displacement, \( \theta_A \)**Solution Steps:**To find the angular velocity \( \omega_A \) and angular displacement \( \theta_A \) of Gear A, follow these steps:1. Integrate the angular acceleration of Gear B (\( \alpha_B \)) with respect to time to find the angular velocity (\( \omega_B \)).2. Integrate \( \omega_B \) to determine the angular displacement (\( \theta_B \)).3. Relate the angular motion of Gear B to Gear A using the gear ratio (\( \frac{r_A}{r_B} \)).**Calculations:**(Include detailed calculations)**Results:**- **Angular Velocity, \( \omega_A \) =** [Enter value with appropriate units]- **Angular Displacement, \( \theta_A

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Gear B has an angular acceleration, a = ¹²+t+rad/s² (t is in seconds). The radius of Gear A is 2 inches and the radius of Gear B is 4 inches. Determine the angular velocity and the angular displacement of gear A at t = 3 seconds. A B Angular Velocity, WA = Angular Displacement, A = Include units.