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A 16 inch thin-crust cheese pizza is cut equally into eight slices. Assuming a uniform distribution of sauce and toppings, determine the position vector řem of the center of mass for the slice highlighted in the figure. Use ijk vector notation, and enter a numerical value with two significant figures for each component. Tem in %3D What is the radial distance rem of the center of mass from the pizza's center? in rem =

A 16 inch thin-crust cheese pizza is cut equally into eight slices. Assuming a uniform distribution of sauce and toppings, determine the position vector řem of the center of mass for the slice highlighted in the figure. Use ijk vector notation, and enter a numerical value with two significant figures for each component. Tem in %3D What is the radial distance rem of the center of mass from the pizza's center? in rem =

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**Title: Determining the Center of Mass for a Pizza Slice** A 16-inch thin-crust cheese pizza is divided equally into eight slices. Assuming a uniform distribution of sauce and toppings, we aim to find the position vector \(\vec{r}_{cm}\) of the center of mass for the highlighted slice in the figure. Utilize \(\hat{i}, \hat{j}, \hat{k}\) vector notation, and provide numerical values with two significant figures for each component. \[ \vec{r}_{cm} = \_\_\_ \, \text{in} \] **Question:** What is the radial distance \( r_{cm} \) from the center of mass to the pizza’s center? \[ r_{cm} = \_\_\_ \, \text{in} \] **Diagram Explanation:** The diagram shows the pizza divided into eight equal slices with one slice highlighted. This slice is positioned in the first quadrant, bordered by red lines. The coordinate axes \(x\) and \(y\) intersect at the pizza's center, creating an origin point. The areas of focus are the center of the pizza and the highlighted slice, which represent the points involved in calculating the center of mass.
Transcribed Image Text:**Title: Determining the Center of Mass for a Pizza Slice** A 16-inch thin-crust cheese pizza is divided equally into eight slices. Assuming a uniform distribution of sauce and toppings, we aim to find the position vector \(\vec{r}_{cm}\) of the center of mass for the highlighted slice in the figure. Utilize \(\hat{i}, \hat{j}, \hat{k}\) vector notation, and provide numerical values with two significant figures for each component. \[ \vec{r}_{cm} = \_\_\_ \, \text{in} \] **Question:** What is the radial distance \( r_{cm} \) from the center of mass to the pizza’s center? \[ r_{cm} = \_\_\_ \, \text{in} \] **Diagram Explanation:** The diagram shows the pizza divided into eight equal slices with one slice highlighted. This slice is positioned in the first quadrant, bordered by red lines. The coordinate axes \(x\) and \(y\) intersect at the pizza's center, creating an origin point. The areas of focus are the center of the pizza and the highlighted slice, which represent the points involved in calculating the center of mass.
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