A jogger is going around a circular track with a radius of 100 ft. Determine the
1 answer:
Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
- r = 100ft .
- t = 3 min = 180s.
Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
- Now the angular speed and linear speed are related as follows ,
=> v = r
=> = v/r
=> = 1/100
=> = 0.01 rad/s
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Answer:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
Step-by-step explanation:
The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.
In this sense, the associative property for the sum is mathematically given by:
and for the multiplication by:
Now, let:
Using the Associative Property of Multiplication:
Therefore the equivalent expressions are:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4