The “Pi in the Sky” algebraic claiming gives acceptance a adventitious to booty allotment in contempo discoveries and accessible angelic events, all while application algebraic and pi aloof like NASA scientists and engineers. In this botheration from the set, acceptance use the algebraic connected pi to analyze the timing and area of a seismic accident on Mars, alleged a “marsquake.”
Pi in the Sky 5: Quake Quandary worksheet – Download PDF
Pi in the Sky 5 acknowledgment key – Download PDF
Studying Mars’ autogenous anatomy answers key questions about the aboriginal accumulation of bouldered planets in our close solar arrangement – Mercury, Venus, Earth, and Mars – added than 4 billion years ago, as able-bodied as bouldered exoplanets. InSight additionally measures tectonic action and meteorite impacts on Mars today.
The lander uses acid bend instruments, to burrow abysmal beneath the apparent and seek the fingerprints of the processes that formed the earthbound planets. It does so by barometer the planet’s “vital signs”: its “pulse” (seismology), “temperature” (heat flow), and “reflexes” (precision tracking).
During a seismic accident on Mars, or a “marsquake,” a blazon of seismic beachcomber alleged apparent after-effects biking apparent from the epicenter, beyond the planet in all directions. Scientists apprehend these apparent after-effects to access at NASA’s InSight lander, advised to abstraction the quakes, at three altered times: R1, back the aboriginal beachcomber arrives, accepting catholic the beeline ambit from the epicenter to the lander; R2, back the additional beachcomber arrives, accepting catholic the added way about Mars; and R3, back the aboriginal beachcomber afresh impacts the lander, accepting catholic all the way about Mars. Let’s brainstorm InSight annal marsquake after-effects at the afterward Earth times:
R1 = 08:38:09.4 UTC
R2 = 10:04:48.2 UTC
R3 = 10:25:43.0 UTC
*Note times are in UTC, which is accounting in hh:mm:ss format.
Use the formulas beneath to actuate the acceleration (U) in rad/s of the apparent wave, the ambit in radians on the apple from InSight to the epicenter (Δ), and the time the marsquake occurred (t0).
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