You might need: Calculator Problem A pitcher's arm rotates at a speed of 777 degrees per millisecond \left( \dfrac{\text{degrees}}{\text{ms}} \right)( ms degrees )left parenthesis, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, s, end text, end fraction, right parenthesis. At what speed does the pitcher's arm rotate in \dfrac{\text{degrees}}{\text{s}} s degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, end fraction? 2.9 \dfrac{\text{degrees}}{\text{s}} s degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, end fraction Hint #11 / 3 We will convert 7\,\dfrac{\text{degrees}}{\text{ms} }7 ms degrees 7, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, s, end text, end fraction to a rate in \dfrac{\text{degrees}}{\text{s}} s degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, end fraction using the following conversion rate: There are 1000\text{ ms}1000 ms1000, start text, space, m, s, end text per 1\text{ s}1 s1, start text, space, s, end text. Hint #22 / 3 \begin{aligned} &\phantom{=} \dfrac{7 \text{ degrees}}{1\text{ ms}} \cdot\dfrac{1000\text{ ms}}{1\text{ s}} &=\dfrac{7 \cdot 1000 \cdot\text{degrees}\cdot\cancel{\te xt{ms}} }{1\cdot 1\cdot\cancel{\text{ms}} \cdot \text{s}} &=\dfrac{7000}{1}\,\dfrac{\text {degrees}}{\text{s}} &=7000\,\dfrac{\text{degrees}}{ \text{s}} \end{aligned} = 1 ms 7 degrees ⋅ 1 s 1000 ms = 1⋅1⋅ ms ⋅s 7⋅1000⋅degrees⋅ ms = 1 7000 s degrees =7000 s degrees Hint #33 / 3 In conclusion, the acceleration rate in \dfrac{\text{degrees}}{\text{s}} s degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, end fraction is: 7000\,\dfrac{\text{degrees}}{\text{ s}}7000 s degrees answer 7000