# Convert radian / square minute to degree / (hour • second)

Learn how to convert 1 radian / square minute to degree / (hour • second) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{radian}{square \text{ } minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{degree}{hour \times second}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{radian}{square \text{ } second}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{radian}{square \text{ } minute}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}\left(\dfrac{radian}{square \text{ } second}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}\left(\dfrac{rad}{s^{2}}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{degree}{hour \times second}\right) = {\color{rgb(125,164,120)} \dfrac{π}{7.2 \times 10^{4}}\left(\dfrac{radian}{square \text{ } second}\right)} = {\color{rgb(125,164,120)} \dfrac{π}{7.2 \times 10^{4}}\left(\dfrac{rad}{s^{2}}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{radian}{square \text{ } minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{degree}{hour \times second}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}} \times {\color{rgb(89,182,91)} \left(\dfrac{radian}{square \text{ } second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{π}{7.2 \times 10^{4}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{radian}{square \text{ } second}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{rad}{s^{2}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{π}{7.2 \times 10^{4}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{rad}{s^{2}}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{rad}{s^{2}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{π}{7.2 \times 10^{4}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{rad}{s^{2}}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{1.0}{3.6 \times 10^{3}} = {\color{rgb(20,165,174)} x} \times \dfrac{π}{7.2 \times 10^{4}}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$$\dfrac{1.0}{3.6 \times {\color{rgb(255,204,153)} \cancel{10^{3}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{π}{7.2 \times {\color{rgb(255,204,153)} \cancelto{10}{10^{4}}}}$$
$$\text{Simplify}$$
$$\dfrac{1.0}{3.6} = {\color{rgb(20,165,174)} x} \times \dfrac{π}{7.2 \times 10.0}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{π}{7.2 \times 10.0} = \dfrac{1.0}{3.6}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{7.2 \times 10.0}{π}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{π}{7.2 \times 10.0} \times \dfrac{7.2 \times 10.0}{π} = \dfrac{1.0}{3.6} \times \dfrac{7.2 \times 10.0}{π}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{π}} \times {\color{rgb(99,194,222)} \cancel{7.2}} \times {\color{rgb(166,218,227)} \cancel{10.0}}}{{\color{rgb(99,194,222)} \cancel{7.2}} \times {\color{rgb(166,218,227)} \cancel{10.0}} \times {\color{rgb(255,204,153)} \cancel{π}}} = \dfrac{1.0 \times 7.2 \times 10.0}{3.6 \times π}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{7.2 \times 10.0}{3.6 \times π}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx6.3661977237\approx6.3662$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{radian}{square \text{ } minute}\right)\approx{\color{rgb(20,165,174)} 6.3662}\left(\dfrac{degree}{hour \times second}\right)$$

# Other Conversion Examples

### Cookie Policy

PLEASE READ AND ACCEPT OUR COOKIE POLICY.
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://smartconversion.com/ConversionExample/radian-per-square-minute-to-degree-per-(hour%E2%80%A2second)/1137/1369", "fetch_time": 1701458655000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2023-50/segments/1700679100304.52/warc/CC-MAIN-20231201183432-20231201213432-00299.warc.gz", "warc_record_offset": 608453895, "warc_record_length": 5637, "token_count": 1666, "char_count": 3946, "score": 4.4375, "int_score": 4, "crawl": "CC-MAIN-2023-50", "snapshot_type": "latest", "language": "en", "language_score": 0.3491981029510498, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00051-of-00064.parquet"}