A bicycle wheel has two clumps of mud stuck to it: Clump A is stuck to the outer edge of the tire, and clump B is stuck to the spokes, 2/3 of the way out from the center. What are the ratios of the speeds and angular speeds of the two clumps: $v_{\text{A}}/v_{\mathrm{B}}$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}$ ?

• A. $v_{\text{A}}/v_{\mathrm{B}}=1$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}=1$
• B. $v_{\text{A}}/v_{\mathrm{B}}=2/3$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}=1$
• C. $v_{\text{A}}/v_{\mathrm{B}}=1$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}=2/3$
• D. $v_{\text{A}}/v_{\mathrm{B}}=1$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}=3/2$
• E. $v_{\text{A}}/v_{\mathrm{B}}=3/2$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}=2/3$
• F. $v_{\text{A}}/v_{\mathrm{B}}=3/2$ and ${\omega }_{\text{A}}/{\omega }_{\mathrm{B}}=1$