9514 1404 393
Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
Answer:
Scully will catch up with Mulder by 7:30 PM.
Step-by-step explanation:
Consider the provided information.
Mulder leaves the office at 9:30a.m. averaging 57mph.
Scully leaves at 10:00a.m., following the same path and averaging 60 mph.
Distance covered by Mulder between 9:30 AM and 10:00 AM:
miles
Let t is the time taken by Scully to catch up with Mulder.
After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.
Therefore total distance cover by them is:



Hence, it would take 9 hours 30 minutes to catch up Mulder.
10 am + 9 hours 30 minutes = 7:30 pm
Therefore, Scully will catch up with Mulder by 7:30 PM.
Answer:
1/5
Step-by-step explanation:
Both Amir and Tamara ate 2/5 each.
2/5 + 2/5 = 4/5
If 4/5 of the candy bar was eaten, 1/5 of the candy bar remains because
5/5 - 4/5 = 1/5
(Remember that 5/5 just equals one whole, representing the whole candy bar)
Answer:
36
Step-by-step explanation:
9-3=6
6*6=36