The unit of plane angle is radian, hence its dimensions are A) [ M 0 L 0 T 0 ] B) [ M 1 L &#x2212; 1 T 0 ] C) [ M 0 L 1 T &#x2212; 1 ] D) [ M 1 L 0 T &#x2212; 1 ]

The correct option is A) [ M 0 L 0 T 0 ] Arc length l=rθ &#x03B8; = I r Since θ is a ratio of two quantities of the same dimension, it is dimensionless. So the unit is [ M 0 L 0 T 0 ]

Expert answers to "The unit of plane angle is radian, hence..."

Tyrell Singleton

Answered question

2023-02-26

The unit of plane angle is radian, hence its dimensions are
A)

[M^{0} L^{0} T^{0}]

[M^{1} L^{- 1} T^{0}]

[M^{0} L^{1} T^{- 1}]

[M^{1} L^{0} T^{- 1}]

Answer & Explanation

Jonah Padilla

Beginner2023-02-27Added 3 answers

The correct option is A)

[M^{0} L^{0} T^{0}]

Arc length l=rθ

θ = \frac{I}{r}

Since θ is a ratio of two quantities of the same dimension, it is dimensionless. So the unit is

[M^{0} L^{0} T^{0}]

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes?
Write formula for the sequence of -4, 0, 8, 20, 36, 56, 80, where the order of f(x) is 0, 1, 2, 3, 4, 5, 6 respectively
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.n=20,
p=0.7,
x=19
P(19)=
In binomial probability distribution, the dependents of standard deviations must includes.
a) all of above.
b) probability of q.
c) probability of p.
d) trials.
The probability that a man will be alive in 25 years is 3/5, and the probability that his wifewill be alive in 25 years is 2/3
Determine the probability that both will be alive
How many different ways can you make change for a quarter??
(Different arrangements of the same coins are not counted separately.)
One hundred people line up to board an airplane that can accommodate 100 passengers. Each has a boarding pass with assigned seat. However, the first passenger to board has misplaced his boarding pass and is assigned a seat at random. After that, each person takes the assigned seat. What is the probability that the last person to board gets his assigned seat unoccupied?
A) 1
B) 0.33
C) 0.6
D) 0.5
The value of $(243)^{- \frac{2}{5}}$ is _______.
A)9
B) $\frac{1}{9}$
C) $\frac{1}{3}$
D)0
1 octopus has 8 legs. How many legs does 3 octopuses have?
A) 16
B 24
C) 32
D) 14
From a pack of 52 cards, two cards are drawn in succession one by one without replacement. The probability that both are aces is...
A pack of cards contains $4$ aces, $4$ kings, $4$ queens and $4$ jacks. Two cards are drawn at random. The probability that at least one of these is an ace is A $\frac{9}{20}$ B $\frac{3}{16}$ C $\frac{1}{6}$ D $\frac{1}{9}$
You spin a spinner that has 8 equal-sized sections numbered 1 to 8. Find the theoretical probability of landing on the given section(s) of the spinner. (i) section 1 (ii) odd-numbered section (iii) a section whose number is a power of 2. [4 MARKS]
If A and B are two independent events such that $P (A) > 0.5, P (B) > 0.5, P (A \cap \bar{B}) = \frac{3}{25} P (\bar{A} \cap B) = \frac{8}{25}$ , then the value of $P (A \cap B)$ is
A) $\frac{12}{25}$
B) $\frac{14}{25}$
C) $\frac{18}{25}$
D) $\frac{24}{25}$
Clinical trial tests a method designed to increase the probability of conceiving a girl. In the study, 340 babies were born, and 289 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born?
What is the probability of drawing a red face card from a deck of cards?

Didn't find what you were looking for?