Adrianna learned that the pendulum of the grandfather clock in her grandparents'home was about 12 inches long . How long will be a period or full cycle of the pendulum?Round your answer to two decimal places. Type a response

## Step 1<br />The problem involves the calculation of the period of a pendulum. The formula for the period of a pendulum is given by:<br />### \(T = 2\pi\sqrt{\frac{L}{g}}\)<br />where \(T\) is the period, \(L\) is the length of the pendulum, and \(g\) is the acceleration due to gravity.<br /><br />## Step 2<br />In this problem, the length of the pendulum \(L\) is given as 12 inches. However, the formula requires the length to be in meters. Therefore, we need to convert the length from inches to meters. We know that 1 inch is approximately equal to 0.025. So, we multiply 12 inches by 0.0254 to get the length in meters.<br /><br />## Step 3<br />Next, we substitute the length in meters and the acceleration due to gravity (9.8 m/s^2) into the formula to calculate the period.<br /><br />## Step 4<br />Finally, we round the answer to two decimal places as instructed.