### Problem StatementSuppose that a Ferris wheel with radius \( R = 25 \) m is rotating clockwise and that the point \( P \) at angle \( 45^\circ \) has acceleration vector \( \mathbf{a} = \langle 0, -70 \rangle \) m/min² pointing down, as shown in the figure. Determine the speed \( v \) and tangential acceleration \( a_T \) of the Ferris wheel.(Use decimal notation. Give your answers to two decimal places.)#### Diagram DescriptionThe figure depicts a Ferris wheel with its center at the origin of a coordinate system. The Ferris wheel is shown as a circle with radius labeled as 25 meters. A point \( P \) located at an angle of \( 45^\circ \) from the positive x-axis is indicated on the Ferris wheel. There are two arrows: one pointing in the downward direction representing the acceleration vector \( \mathbf{a} \).#### Calculation BoxesThe tangential acceleration \( a_T \approx \_\_\_\_\_\_ \) m/min²The speed \( v \approx \_\_\_\_\_\_ \) m/min---This concludes the problem statement and visualization description. Please proceed with solving for the values of \(v\) and \(a_T\) using the provided information and appropriate formulas for rotational motion.

Name: ### Problem StatementSuppose that a Ferris wheel with radius \( R = 2
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: ### Problem StatementSuppose that a Ferris wheel with radius \( R = 25 \) m is rotating clockwise and that the point \( P \) at angle \( 45^\circ \) has acceleration vector \( \mathbf{a} = \langle 0, -70 \rangle \) m/min² pointing down, as shown in