That would vary from weapon to weapon.
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The amount of radiation produced by a nuclear weapon can vary depending on its size and yield. However, a single detonation of a nuclear weapon can produce tens of thousands to millions of rads within the immediate vicinity of ground zero. This level of radiation exposure can be lethal to humans and cause widespread health effects.
Rads and grays are units used to measure radiation exposure. Rads are an older unit that measures the amount of energy absorbed from ionizing radiation by matter. Grays are the newer, more internationally accepted unit that measures the absorbed dose of radiation.
Exposure to over a thousand rads of radiation would likely be fatal within a matter of hours to days due to acute radiation sickness, which can have severe effects on the body's cells and organs. Immediate medical intervention is crucial to try to mitigate the effects of such a high level of radiation exposure.
The acceleration of the particle moving in a circular path is given by the formula a = rω^2, where r is the radius of the circle and ω is the angular speed. Plugging in the values, a = (1.5 m)(rads/s)^2 = 2.25 m/s^2.
To find the instantaneous angular acceleration, you need to know the time rate of change of the instantaneous angular velocity. Without this information, you cannot calculate the instantaneous angular acceleration at t=5.0s.
To convert revolutions per second to radians per second, you need to multiply by (2\pi) (since there are (2\pi) radians in one revolution). Therefore, if the motor makes 300 rev per second, the angular speed in radians per second would be (300 \times 2\pi = 600\pi) radians per second.