Question

15 A space vehicle is orbiting Mars in a circular orbit. What radian measure corresponds to

(a) 3.5 orbits?
(b)15/2 orbit?

Answer 1

The radian measure corresponding to 3.5 orbits of a space vehicle around Mars is 7π radians, and for 15/2 orbits, it is 15π radians.

Step-by-step explanation:

To solve for the radian measure corresponding to 3.5 orbits and 15/2 orbits of a space vehicle orbiting Mars, we must consider that one complete orbit is 2π radians since a circle contains 2π radians in total. (a) For 3.5 orbits, the radian measure would be calculated by multiplying 3.5 by 2π. Therefore, the radian measure for 3.5 orbits is 3.5 × 2π = 7π radians.(b) Similarly, for 15/2 orbits, we multiply (15/2) by 2π. This gives us (15/2) × 2π = 15π radians. In summary, 3.5 orbits correspond to 7π radians and 15/2 orbits correspond to 15π radians.