The rotation per minute (RPM) is a fascinating unit of rotational speed that measures the number of complete turns an object makes in one minute. Though RPM is most commonly associated with car engines and records players, it’s a vital metric in a wide array of industries, including aviation, where turbine engines can reach up to 10,000 RPMs. Fun fact: beyond Earth, RPM played a crucial part in the Apollo missions—during re-entry, the command module performed a slow spin at around 2 RPMs to ensure even heat distribution!
In the everyday whimsy of RPM, consider that your average washing machine can spin at an impressive 1,200 RPM during the spin cycle. Additionally, high-speed trains like the Japanese Shinkansen have wheels rotating at about 280 RPM while cruising at speeds over 300 km/h, showing how RPM bridges the gap between mundane household chores and cutting-edge transportation technology.
Radian per second is a unit of angular velocity, commonly used in physics and engineering to describe rotational motion. One fascinating aspect of this unit is its connection to everyday observations, such as how the Earth rotates. The Earth spins at an angular velocity of about 7.29 x 10^-5 rad/s, a measurement that reflects both time and spatial dimensions harmoniously. Unlike degrees per second, which may vary with context, radians per second universally link angle to time via the constant π, making it a fundamental choice in scientific calculations.
Additionally, radian per second is pivotal in the world of oscillations and wave motion. For example, the frequency of a simple harmonic oscillator, like a swinging pendulum, can be directly analyzed using radians per second, shedding light on the intrinsic natural frequency of systems. These conversions are crucial in designing everything from clock mechanisms to advanced aerospace technology, demonstrating the profound impact this unit has across various fields.
Rotations per minute | Radians per second |
---|---|
0
rpm
|
0
rad/s
|
50
rpm
|
5.23599
rad/s
|
100
rpm
|
10.47198
rad/s
|
150
rpm
|
15.70796
rad/s
|
200
rpm
|
20.94395
rad/s
|
250
rpm
|
26.17994
rad/s
|
300
rpm
|
31.41593
rad/s
|
350
rpm
|
36.65191
rad/s
|
400
rpm
|
41.8879
rad/s
|
450
rpm
|
47.12389
rad/s
|
500
rpm
|
52.35988
rad/s
|
550
rpm
|
57.59587
rad/s
|
600
rpm
|
62.83185
rad/s
|
650
rpm
|
68.06784
rad/s
|
700
rpm
|
73.30383
rad/s
|
750
rpm
|
78.53982
rad/s
|
800
rpm
|
83.7758
rad/s
|
850
rpm
|
89.01179
rad/s
|
900
rpm
|
94.24778
rad/s
|
950
rpm
|
99.48377
rad/s
|
1000
rpm
|
104.71976
rad/s
|
1050
rpm
|
109.95574
rad/s
|
1100
rpm
|
115.19173
rad/s
|
1150
rpm
|
120.42772
rad/s
|
1200
rpm
|
125.66371
rad/s
|
1250
rpm
|
130.89969
rad/s
|
1300
rpm
|
136.13568
rad/s
|
1350
rpm
|
141.37167
rad/s
|
1400
rpm
|
146.60766
rad/s
|
1450
rpm
|
151.84364
rad/s
|
1500
rpm
|
157.07963
rad/s
|
1550
rpm
|
162.31562
rad/s
|
1600
rpm
|
167.55161
rad/s
|
1650
rpm
|
172.7876
rad/s
|
1700
rpm
|
178.02358
rad/s
|
1750
rpm
|
183.25957
rad/s
|
1800
rpm
|
188.49556
rad/s
|
1850
rpm
|
193.73155
rad/s
|
1900
rpm
|
198.96753
rad/s
|
1950
rpm
|
204.20352
rad/s
|
2000
rpm
|
209.43951
rad/s
|
2050
rpm
|
214.6755
rad/s
|
2100
rpm
|
219.91149
rad/s
|
2150
rpm
|
225.14747
rad/s
|
2200
rpm
|
230.38346
rad/s
|
2250
rpm
|
235.61945
rad/s
|
2300
rpm
|
240.85544
rad/s
|
2350
rpm
|
246.09142
rad/s
|
2400
rpm
|
251.32741
rad/s
|
2450
rpm
|
256.5634
rad/s
|
2500
rpm
|
261.79939
rad/s
|
2550
rpm
|
267.03538
rad/s
|
2600
rpm
|
272.27136
rad/s
|
2650
rpm
|
277.50735
rad/s
|
2700
rpm
|
282.74334
rad/s
|
2750
rpm
|
287.97933
rad/s
|
2800
rpm
|
293.21531
rad/s
|
2850
rpm
|
298.4513
rad/s
|
2900
rpm
|
303.68729
rad/s
|
2950
rpm
|
308.92328
rad/s
|
3000
rpm
|
314.15927
rad/s
|
3050
rpm
|
319.39525
rad/s
|
3100
rpm
|
324.63124
rad/s
|
3150
rpm
|
329.86723
rad/s
|
3200
rpm
|
335.10322
rad/s
|
3250
rpm
|
340.3392
rad/s
|
3300
rpm
|
345.57519
rad/s
|
3350
rpm
|
350.81118
rad/s
|
3400
rpm
|
356.04717
rad/s
|
3450
rpm
|
361.28316
rad/s
|
3500
rpm
|
366.51914
rad/s
|
3550
rpm
|
371.75513
rad/s
|
3600
rpm
|
376.99112
rad/s
|
3650
rpm
|
382.22711
rad/s
|
3700
rpm
|
387.46309
rad/s
|
3750
rpm
|
392.69908
rad/s
|
3800
rpm
|
397.93507
rad/s
|
3850
rpm
|
403.17106
rad/s
|
3900
rpm
|
408.40704
rad/s
|
3950
rpm
|
413.64303
rad/s
|
4000
rpm
|
418.87902
rad/s
|
4050
rpm
|
424.11501
rad/s
|
4100
rpm
|
429.351
rad/s
|
4150
rpm
|
434.58698
rad/s
|
4200
rpm
|
439.82297
rad/s
|
4250
rpm
|
445.05896
rad/s
|
4300
rpm
|
450.29495
rad/s
|
4350
rpm
|
455.53093
rad/s
|
4400
rpm
|
460.76692
rad/s
|
4450
rpm
|
466.00291
rad/s
|
4500
rpm
|
471.2389
rad/s
|
4550
rpm
|
476.47489
rad/s
|
4600
rpm
|
481.71087
rad/s
|
4650
rpm
|
486.94686
rad/s
|
4700
rpm
|
492.18285
rad/s
|
4750
rpm
|
497.41884
rad/s
|
4800
rpm
|
502.65482
rad/s
|
4850
rpm
|
507.89081
rad/s
|
4900
rpm
|
513.1268
rad/s
|
4950
rpm
|
518.36279
rad/s
|
5000
rpm
|
523.59878
rad/s
|
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